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Finding the Fourth Proportional to 378,767.32, 568,150.98 and 129,451.48

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Solution

The fourth proportional to 378,767.32, 568,150.98 and 129,451.48 is: 194,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,767.32 : 568,150.98 = 129,451.48 : x
  2. Step 2: Convert to fraction form
    378,767.32/568,150.98 = 129,451.48/x
  3. Step 3: Cross multiply
    378,767.32x = 568,150.98 × 129,451.48
  4. Step 4: Simplify right side
    378,767.32x = 73,547,985,224.45
  5. Step 5: Solve for x
    x = 73,547,985,224.45/378,767.32
  6. Step 6: Final answer
    x = 194,177.22

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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.