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Finding the Fourth Proportional to 499,150.27, 688,949.76 and 284,416.93

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Solution

The fourth proportional to 499,150.27, 688,949.76 and 284,416.93 is: 392,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,150.27 : 688,949.76 = 284,416.93 : x
  2. Step 2: Convert to fraction form
    499,150.27/688,949.76 = 284,416.93/x
  3. Step 3: Cross multiply
    499,150.27x = 688,949.76 × 284,416.93
  4. Step 4: Simplify right side
    499,150.27x = 195,948,975,663.44
  5. Step 5: Solve for x
    x = 195,948,975,663.44/499,150.27
  6. Step 6: Final answer
    x = 392,565.10

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1.5x scale

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.