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Finding the Fourth Proportional to 382,218.86, 573,414.15 and 129,484.82

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Solution

The fourth proportional to 382,218.86, 573,414.15 and 129,484.82 is: 194,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,218.86 : 573,414.15 = 129,484.82 : x
  2. Step 2: Convert to fraction form
    382,218.86/573,414.15 = 129,484.82/x
  3. Step 3: Cross multiply
    382,218.86x = 573,414.15 × 129,484.82
  4. Step 4: Simplify right side
    382,218.86x = 74,248,427,998.20
  5. Step 5: Solve for x
    x = 74,248,427,998.20/382,218.86
  6. Step 6: Final answer
    x = 194,256.32

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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.