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Finding the Fourth Proportional to 287,648.88, 431,535.63 and 110,155.91

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Solution

The fourth proportional to 287,648.88, 431,535.63 and 110,155.91 is: 165,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,648.88 : 431,535.63 = 110,155.91 : x
  2. Step 2: Convert to fraction form
    287,648.88/431,535.63 = 110,155.91/x
  3. Step 3: Cross multiply
    287,648.88x = 431,535.63 × 110,155.91
  4. Step 4: Simplify right side
    287,648.88x = 47,536,198,275.48
  5. Step 5: Solve for x
    x = 47,536,198,275.48/287,648.88
  6. Step 6: Final answer
    x = 165,257.72

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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.