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Finding the Fourth Proportional to 509,607.92, 703,272.64 and 280,174.88

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Solution

The fourth proportional to 509,607.92, 703,272.64 and 280,174.88 is: 386,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,607.92 : 703,272.64 = 280,174.88 : x
  2. Step 2: Convert to fraction form
    509,607.92/703,272.64 = 280,174.88/x
  3. Step 3: Cross multiply
    509,607.92x = 703,272.64 × 280,174.88
  4. Step 4: Simplify right side
    509,607.92x = 197,039,327,519.28
  5. Step 5: Solve for x
    x = 197,039,327,519.28/509,607.92
  6. Step 6: Final answer
    x = 386,648.87

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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.