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Finding the Fourth Proportional to 315,471.82, 435,330.85 and 172,231.56

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Solution

The fourth proportional to 315,471.82, 435,330.85 and 172,231.56 is: 237,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,471.82 : 435,330.85 = 172,231.56 : x
  2. Step 2: Convert to fraction form
    315,471.82/435,330.85 = 172,231.56/x
  3. Step 3: Cross multiply
    315,471.82x = 435,330.85 × 172,231.56
  4. Step 4: Simplify right side
    315,471.82x = 74,977,711,411.63
  5. Step 5: Solve for x
    x = 74,977,711,411.63/315,471.82
  6. Step 6: Final answer
    x = 237,668.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.