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Finding the Fourth Proportional to 509,752.72, 703,476.72 and 280,327.44

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Solution

The fourth proportional to 509,752.72, 703,476.72 and 280,327.44 is: 386,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,752.72 : 703,476.72 = 280,327.44 : x
  2. Step 2: Convert to fraction form
    509,752.72/703,476.72 = 280,327.44/x
  3. Step 3: Cross multiply
    509,752.72x = 703,476.72 × 280,327.44
  4. Step 4: Simplify right side
    509,752.72x = 197,203,828,017.20
  5. Step 5: Solve for x
    x = 197,203,828,017.20/509,752.72
  6. Step 6: Final answer
    x = 386,861.75

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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.