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Finding the Fourth Proportional to 431,497.04, 647,225.40 and 151,077.20

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Solution

The fourth proportional to 431,497.04, 647,225.40 and 151,077.20 is: 226,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,497.04 : 647,225.40 = 151,077.20 : x
  2. Step 2: Convert to fraction form
    431,497.04/647,225.40 = 151,077.20/x
  3. Step 3: Cross multiply
    431,497.04x = 647,225.40 × 151,077.20
  4. Step 4: Simplify right side
    431,497.04x = 97,781,001,200.88
  5. Step 5: Solve for x
    x = 97,781,001,200.88/431,497.04
  6. Step 6: Final answer
    x = 226,608.74

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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.