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Finding the Fourth Proportional to 431,077.95, 646,618.14 and 150,595.20

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Solution

The fourth proportional to 431,077.95, 646,618.14 and 150,595.20 is: 225,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,077.95 : 646,618.14 = 150,595.20 : x
  2. Step 2: Convert to fraction form
    431,077.95/646,618.14 = 150,595.20/x
  3. Step 3: Cross multiply
    431,077.95x = 646,618.14 × 150,595.20
  4. Step 4: Simplify right side
    431,077.95x = 97,377,588,116.93
  5. Step 5: Solve for x
    x = 97,377,588,116.93/431,077.95
  6. Step 6: Final answer
    x = 225,893.22

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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.