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Finding the Fourth Proportional to 981,716.16, 1,472,729.76 and 316,712.64

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Solution

The fourth proportional to 981,716.16, 1,472,729.76 and 316,712.64 is: 475,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,716.16 : 1,472,729.76 = 316,712.64 : x
  2. Step 2: Convert to fraction form
    981,716.16/1,472,729.76 = 316,712.64/x
  3. Step 3: Cross multiply
    981,716.16x = 1,472,729.76 × 316,712.64
  4. Step 4: Simplify right side
    981,716.16x = 466,432,130,296.17
  5. Step 5: Solve for x
    x = 466,432,130,296.17/981,716.16
  6. Step 6: Final answer
    x = 475,119.13

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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.