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Finding the Fourth Proportional to 284,590.67, 392,735.00 and 157,265.15

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Solution

The fourth proportional to 284,590.67, 392,735.00 and 157,265.15 is: 217,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,590.67 : 392,735.00 = 157,265.15 : x
  2. Step 2: Convert to fraction form
    284,590.67/392,735.00 = 157,265.15/x
  3. Step 3: Cross multiply
    284,590.67x = 392,735.00 × 157,265.15
  4. Step 4: Simplify right side
    284,590.67x = 61,763,527,898.92
  5. Step 5: Solve for x
    x = 61,763,527,898.92/284,590.67
  6. Step 6: Final answer
    x = 217,025.84

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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.