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Finding the Fourth Proportional to 523,316.86, 721,988.31 and 296,831.14

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Solution

The fourth proportional to 523,316.86, 721,988.31 and 296,831.14 is: 409,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,316.86 : 721,988.31 = 296,831.14 : x
  2. Step 2: Convert to fraction form
    523,316.86/721,988.31 = 296,831.14/x
  3. Step 3: Cross multiply
    523,316.86x = 721,988.31 × 296,831.14
  4. Step 4: Simplify right side
    523,316.86x = 214,308,613,123.97
  5. Step 5: Solve for x
    x = 214,308,613,123.97/523,316.86
  6. Step 6: Final answer
    x = 409,519.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.