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Finding the Fourth Proportional to 400,498.95, 552,687.11 and 216,737.15

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Solution

The fourth proportional to 400,498.95, 552,687.11 and 216,737.15 is: 299,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,498.95 : 552,687.11 = 216,737.15 : x
  2. Step 2: Convert to fraction form
    400,498.95/552,687.11 = 216,737.15/x
  3. Step 3: Cross multiply
    400,498.95x = 552,687.11 × 216,737.15
  4. Step 4: Simplify right side
    400,498.95x = 119,787,829,063.14
  5. Step 5: Solve for x
    x = 119,787,829,063.14/400,498.95
  6. Step 6: Final answer
    x = 299,096.49

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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.