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Finding the Fourth Proportional to 872,844,604.60, 1,309,266,906.90 and 778,141,818.40

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Solution

The fourth proportional to 872,844,604.60, 1,309,266,906.90 and 778,141,818.40 is: 1,167,212,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,844,604.60 : 1,309,266,906.90 = 778,141,818.40 : x
  2. Step 2: Convert to fraction form
    872,844,604.60/1,309,266,906.90 = 778,141,818.40/x
  3. Step 3: Cross multiply
    872,844,604.60x = 1,309,266,906.90 × 778,141,818.40
  4. Step 4: Simplify right side
    872,844,604.60x = 1,018,795,331,706,109,568
  5. Step 5: Solve for x
    x = 1,018,795,331,706,109,568/872,844,604.60
  6. Step 6: Final answer
    x = 1,167,212,727.60

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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.