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Finding the Fourth Proportional to 509,773.88, 703,350.06 and 328,337.12

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Solution

The fourth proportional to 509,773.88, 703,350.06 and 328,337.12 is: 453,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,773.88 : 703,350.06 = 328,337.12 : x
  2. Step 2: Convert to fraction form
    509,773.88/703,350.06 = 328,337.12/x
  3. Step 3: Cross multiply
    509,773.88x = 703,350.06 × 328,337.12
  4. Step 4: Simplify right side
    509,773.88x = 230,935,933,052.23
  5. Step 5: Solve for x
    x = 230,935,933,052.23/509,773.88
  6. Step 6: Final answer
    x = 453,016.41

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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.