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Finding the Fourth Proportional to 499,008.68, 688,631.31 and 284,148.75

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Solution

The fourth proportional to 499,008.68, 688,631.31 and 284,148.75 is: 392,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,008.68 : 688,631.31 = 284,148.75 : x
  2. Step 2: Convert to fraction form
    499,008.68/688,631.31 = 284,148.75/x
  3. Step 3: Cross multiply
    499,008.68x = 688,631.31 × 284,148.75
  4. Step 4: Simplify right side
    499,008.68x = 195,673,724,881.81
  5. Step 5: Solve for x
    x = 195,673,724,881.81/499,008.68
  6. Step 6: Final answer
    x = 392,124.89

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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.