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Finding the Fourth Proportional to 872,154, 1,308,230.96 and 273,162.02

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Solution

The fourth proportional to 872,154, 1,308,230.96 and 273,162.02 is: 409,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,154 : 1,308,230.96 = 273,162.02 : x
  2. Step 2: Convert to fraction form
    872,154/1,308,230.96 = 273,162.02/x
  3. Step 3: Cross multiply
    872,154x = 1,308,230.96 × 273,162.02
  4. Step 4: Simplify right side
    872,154x = 357,359,003,753.17
  5. Step 5: Solve for x
    x = 357,359,003,753.17/872,154
  6. Step 6: Final answer
    x = 409,743.01

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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.