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Finding the Fourth Proportional to 499,672.92, 689,531.40 and 284,882.16

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Solution

The fourth proportional to 499,672.92, 689,531.40 and 284,882.16 is: 393,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,672.92 : 689,531.40 = 284,882.16 : x
  2. Step 2: Convert to fraction form
    499,672.92/689,531.40 = 284,882.16/x
  3. Step 3: Cross multiply
    499,672.92x = 689,531.40 × 284,882.16
  4. Step 4: Simplify right side
    499,672.92x = 196,435,194,619.82
  5. Step 5: Solve for x
    x = 196,435,194,619.82/499,672.92
  6. Step 6: Final answer
    x = 393,127.56

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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.