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Finding the Fourth Proportional to 445,814.92, 615,292.13 and 284,777.24

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Solution

The fourth proportional to 445,814.92, 615,292.13 and 284,777.24 is: 393,035.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,814.92 : 615,292.13 = 284,777.24 : x
  2. Step 2: Convert to fraction form
    445,814.92/615,292.13 = 284,777.24/x
  3. Step 3: Cross multiply
    445,814.92x = 615,292.13 × 284,777.24
  4. Step 4: Simplify right side
    445,814.92x = 175,221,192,210.60
  5. Step 5: Solve for x
    x = 175,221,192,210.60/445,814.92
  6. Step 6: Final answer
    x = 393,035.73

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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.