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Finding the Fourth Proportional to 385,415.91, 578,136.50 and 132,693.72

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Solution

The fourth proportional to 385,415.91, 578,136.50 and 132,693.72 is: 199,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,415.91 : 578,136.50 = 132,693.72 : x
  2. Step 2: Convert to fraction form
    385,415.91/578,136.50 = 132,693.72/x
  3. Step 3: Cross multiply
    385,415.91x = 578,136.50 × 132,693.72
  4. Step 4: Simplify right side
    385,415.91x = 76,715,082,189.31
  5. Step 5: Solve for x
    x = 76,715,082,189.31/385,415.91
  6. Step 6: Final answer
    x = 199,044.93

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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.