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Finding the Fourth Proportional to 872,844,609.60, 1,309,266,914.40 and 778,141,823.40

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Solution

The fourth proportional to 872,844,609.60, 1,309,266,914.40 and 778,141,823.40 is: 1,167,212,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,844,609.60 : 1,309,266,914.40 = 778,141,823.40 : x
  2. Step 2: Convert to fraction form
    872,844,609.60/1,309,266,914.40 = 778,141,823.40/x
  3. Step 3: Cross multiply
    872,844,609.60x = 1,309,266,914.40 × 778,141,823.40
  4. Step 4: Simplify right side
    872,844,609.60x = 1,018,795,344,088,507,776
  5. Step 5: Solve for x
    x = 1,018,795,344,088,507,776/872,844,609.60
  6. Step 6: Final answer
    x = 1,167,212,735.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.