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Finding the Fourth Proportional to 385,475.96, 578,252.64 and 132,723

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Solution

The fourth proportional to 385,475.96, 578,252.64 and 132,723 is: 199,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,475.96 : 578,252.64 = 132,723 : x
  2. Step 2: Convert to fraction form
    385,475.96/578,252.64 = 132,723/x
  3. Step 3: Cross multiply
    385,475.96x = 578,252.64 × 132,723
  4. Step 4: Simplify right side
    385,475.96x = 76,747,425,138.72
  5. Step 5: Solve for x
    x = 76,747,425,138.72/385,475.96
  6. Step 6: Final answer
    x = 199,097.82

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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.