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Finding the Fourth Proportional to 431,386.56, 646,953.12 and 150,851.52

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Solution

The fourth proportional to 431,386.56, 646,953.12 and 150,851.52 is: 226,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,386.56 : 646,953.12 = 150,851.52 : x
  2. Step 2: Convert to fraction form
    431,386.56/646,953.12 = 150,851.52/x
  3. Step 3: Cross multiply
    431,386.56x = 646,953.12 × 150,851.52
  4. Step 4: Simplify right side
    431,386.56x = 97,593,861,520.74
  5. Step 5: Solve for x
    x = 97,593,861,520.74/431,386.56
  6. Step 6: Final answer
    x = 226,232.97

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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.