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Finding the Fourth Proportional to 385,714.26, 578,609.45 and 132,961.47

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Solution

The fourth proportional to 385,714.26, 578,609.45 and 132,961.47 is: 199,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,714.26 : 578,609.45 = 132,961.47 : x
  2. Step 2: Convert to fraction form
    385,714.26/578,609.45 = 132,961.47/x
  3. Step 3: Cross multiply
    385,714.26x = 578,609.45 × 132,961.47
  4. Step 4: Simplify right side
    385,714.26x = 76,932,762,363.08
  5. Step 5: Solve for x
    x = 76,932,762,363.08/385,714.26
  6. Step 6: Final answer
    x = 199,455.32

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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.