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Finding the Fourth Proportional to 521,678.32, 782,548.20 and 147,670

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Solution

The fourth proportional to 521,678.32, 782,548.20 and 147,670 is: 221,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,678.32 : 782,548.20 = 147,670 : x
  2. Step 2: Convert to fraction form
    521,678.32/782,548.20 = 147,670/x
  3. Step 3: Cross multiply
    521,678.32x = 782,548.20 × 147,670
  4. Step 4: Simplify right side
    521,678.32x = 115,558,892,694
  5. Step 5: Solve for x
    x = 115,558,892,694/521,678.32
  6. Step 6: Final answer
    x = 221,513.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.