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Finding the Fourth Proportional to 287,951.10, 431,922.60 and 130,179.30

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Solution

The fourth proportional to 287,951.10, 431,922.60 and 130,179.30 is: 195,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,951.10 : 431,922.60 = 130,179.30 : x
  2. Step 2: Convert to fraction form
    287,951.10/431,922.60 = 130,179.30/x
  3. Step 3: Cross multiply
    287,951.10x = 431,922.60 × 130,179.30
  4. Step 4: Simplify right side
    287,951.10x = 56,227,381,722.18
  5. Step 5: Solve for x
    x = 56,227,381,722.18/287,951.10
  6. Step 6: Final answer
    x = 195,267.12

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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.