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Finding the Fourth Proportional to 315,472.82, 435,332.23 and 172,232.56

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Solution

The fourth proportional to 315,472.82, 435,332.23 and 172,232.56 is: 237,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,472.82 : 435,332.23 = 172,232.56 : x
  2. Step 2: Convert to fraction form
    315,472.82/435,332.23 = 172,232.56/x
  3. Step 3: Cross multiply
    315,472.82x = 435,332.23 × 172,232.56
  4. Step 4: Simplify right side
    315,472.82x = 74,978,384,423.41
  5. Step 5: Solve for x
    x = 74,978,384,423.41/315,472.82
  6. Step 6: Final answer
    x = 237,669.87

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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.