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Finding the Fourth Proportional to 498,885.83, 688,463.09 and 284,025.88

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Solution

The fourth proportional to 498,885.83, 688,463.09 and 284,025.88 is: 391,956.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,885.83 : 688,463.09 = 284,025.88 : x
  2. Step 2: Convert to fraction form
    498,885.83/688,463.09 = 284,025.88/x
  3. Step 3: Cross multiply
    498,885.83x = 688,463.09 × 284,025.88
  4. Step 4: Simplify right side
    498,885.83x = 195,541,334,984.77
  5. Step 5: Solve for x
    x = 195,541,334,984.77/498,885.83
  6. Step 6: Final answer
    x = 391,956.08

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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.