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Finding the Fourth Proportional to 614,253.48, 847,649.28 and 356,135.16

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Solution

The fourth proportional to 614,253.48, 847,649.28 and 356,135.16 is: 491,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,253.48 : 847,649.28 = 356,135.16 : x
  2. Step 2: Convert to fraction form
    614,253.48/847,649.28 = 356,135.16/x
  3. Step 3: Cross multiply
    614,253.48x = 847,649.28 × 356,135.16
  4. Step 4: Simplify right side
    614,253.48x = 301,877,711,956.69
  5. Step 5: Solve for x
    x = 301,877,711,956.69/614,253.48
  6. Step 6: Final answer
    x = 491,454.62

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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.