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Finding the Fourth Proportional to 437,432, 656,148.41 and 121,897.31

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Solution

The fourth proportional to 437,432, 656,148.41 and 121,897.31 is: 182,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,432 : 656,148.41 = 121,897.31 : x
  2. Step 2: Convert to fraction form
    437,432/656,148.41 = 121,897.31/x
  3. Step 3: Cross multiply
    437,432x = 656,148.41 × 121,897.31
  4. Step 4: Simplify right side
    437,432x = 79,982,726,139.78
  5. Step 5: Solve for x
    x = 79,982,726,139.78/437,432
  6. Step 6: Final answer
    x = 182,846.08

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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.