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Finding the Fourth Proportional to 512,726.64, 767,575.40 and 378,717.04

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Solution

The fourth proportional to 512,726.64, 767,575.40 and 378,717.04 is: 566,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,726.64 : 767,575.40 = 378,717.04 : x
  2. Step 2: Convert to fraction form
    512,726.64/767,575.40 = 378,717.04/x
  3. Step 3: Cross multiply
    512,726.64x = 767,575.40 × 378,717.04
  4. Step 4: Simplify right side
    512,726.64x = 290,693,883,464.82
  5. Step 5: Solve for x
    x = 290,693,883,464.82/512,726.64
  6. Step 6: Final answer
    x = 566,956.86

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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.