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Finding the Fourth Proportional to 478,232.88, 659,963.28 and 287,249.52

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Solution

The fourth proportional to 478,232.88, 659,963.28 and 287,249.52 is: 396,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,232.88 : 659,963.28 = 287,249.52 : x
  2. Step 2: Convert to fraction form
    478,232.88/659,963.28 = 287,249.52/x
  3. Step 3: Cross multiply
    478,232.88x = 659,963.28 × 287,249.52
  4. Step 4: Simplify right side
    478,232.88x = 189,574,135,397.63
  5. Step 5: Solve for x
    x = 189,574,135,397.63/478,232.88
  6. Step 6: Final answer
    x = 396,405.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.