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Finding the Fourth Proportional to 438,298.88, 656,849.28 and 238,357.76

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Solution

The fourth proportional to 438,298.88, 656,849.28 and 238,357.76 is: 357,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,298.88 : 656,849.28 = 238,357.76 : x
  2. Step 2: Convert to fraction form
    438,298.88/656,849.28 = 238,357.76/x
  3. Step 3: Cross multiply
    438,298.88x = 656,849.28 × 238,357.76
  4. Step 4: Simplify right side
    438,298.88x = 156,565,123,038.41
  5. Step 5: Solve for x
    x = 156,565,123,038.41/438,298.88
  6. Step 6: Final answer
    x = 357,210.87

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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.