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Finding the Fourth Proportional to 499,020.71, 688,647.87 and 284,160.83

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Solution

The fourth proportional to 499,020.71, 688,647.87 and 284,160.83 is: 392,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,020.71 : 688,647.87 = 284,160.83 : x
  2. Step 2: Convert to fraction form
    499,020.71/688,647.87 = 284,160.83/x
  3. Step 3: Cross multiply
    499,020.71x = 688,647.87 × 284,160.83
  4. Step 4: Simplify right side
    499,020.71x = 195,686,746,873.69
  5. Step 5: Solve for x
    x = 195,686,746,873.69/499,020.71
  6. Step 6: Final answer
    x = 392,141.54

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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.