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Finding the Fourth Proportional to 315,887.87, 435,932.24 and 172,657.19

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Solution

The fourth proportional to 315,887.87, 435,932.24 and 172,657.19 is: 238,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,887.87 : 435,932.24 = 172,657.19 : x
  2. Step 2: Convert to fraction form
    315,887.87/435,932.24 = 172,657.19/x
  3. Step 3: Cross multiply
    315,887.87x = 435,932.24 × 172,657.19
  4. Step 4: Simplify right side
    315,887.87x = 75,266,834,725.52
  5. Step 5: Solve for x
    x = 75,266,834,725.52/315,887.87
  6. Step 6: Final answer
    x = 238,270.73

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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.