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Finding the Fourth Proportional to 287,591.20, 431,386.80 and 130,127.20

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Solution

The fourth proportional to 287,591.20, 431,386.80 and 130,127.20 is: 195,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,591.20 : 431,386.80 = 130,127.20 : x
  2. Step 2: Convert to fraction form
    287,591.20/431,386.80 = 130,127.20/x
  3. Step 3: Cross multiply
    287,591.20x = 431,386.80 × 130,127.20
  4. Step 4: Simplify right side
    287,591.20x = 56,135,156,400.96
  5. Step 5: Solve for x
    x = 56,135,156,400.96/287,591.20
  6. Step 6: Final answer
    x = 195,190.80

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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.