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Finding the Fourth Proportional to 509,700.46, 703,404.70 and 280,275.20

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Solution

The fourth proportional to 509,700.46, 703,404.70 and 280,275.20 is: 386,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,700.46 : 703,404.70 = 280,275.20 : x
  2. Step 2: Convert to fraction form
    509,700.46/703,404.70 = 280,275.20/x
  3. Step 3: Cross multiply
    509,700.46x = 703,404.70 × 280,275.20
  4. Step 4: Simplify right side
    509,700.46x = 197,146,892,973.44
  5. Step 5: Solve for x
    x = 197,146,892,973.44/509,700.46
  6. Step 6: Final answer
    x = 386,789.71

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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.