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Finding the Fourth Proportional to 431,150.72, 646,695.99 and 161,227.53

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Solution

The fourth proportional to 431,150.72, 646,695.99 and 161,227.53 is: 241,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,150.72 : 646,695.99 = 161,227.53 : x
  2. Step 2: Convert to fraction form
    431,150.72/646,695.99 = 161,227.53/x
  3. Step 3: Cross multiply
    431,150.72x = 646,695.99 × 161,227.53
  4. Step 4: Simplify right side
    431,150.72x = 104,265,197,128.61
  5. Step 5: Solve for x
    x = 104,265,197,128.61/431,150.72
  6. Step 6: Final answer
    x = 241,830.05

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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.