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Finding the Fourth Proportional to 438,357.30, 657,171.45 and 185,831.70

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Solution

The fourth proportional to 438,357.30, 657,171.45 and 185,831.70 is: 278,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,357.30 : 657,171.45 = 185,831.70 : x
  2. Step 2: Convert to fraction form
    438,357.30/657,171.45 = 185,831.70/x
  3. Step 3: Cross multiply
    438,357.30x = 657,171.45 × 185,831.70
  4. Step 4: Simplify right side
    438,357.30x = 122,123,287,744.97
  5. Step 5: Solve for x
    x = 122,123,287,744.97/438,357.30
  6. Step 6: Final answer
    x = 278,593.03

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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.