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Finding the Fourth Proportional to 287,785.58, 431,432.19 and 110,419.88

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Solution

The fourth proportional to 287,785.58, 431,432.19 and 110,419.88 is: 165,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,785.58 : 431,432.19 = 110,419.88 : x
  2. Step 2: Convert to fraction form
    287,785.58/431,432.19 = 110,419.88/x
  3. Step 3: Cross multiply
    287,785.58x = 431,432.19 × 110,419.88
  4. Step 4: Simplify right side
    287,785.58x = 47,638,688,490.78
  5. Step 5: Solve for x
    x = 47,638,688,490.78/287,785.58
  6. Step 6: Final answer
    x = 165,535.36

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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.