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Finding the Fourth Proportional to 315,708.72, 435,672.56 and 172,465.04

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Solution

The fourth proportional to 315,708.72, 435,672.56 and 172,465.04 is: 237,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,708.72 : 435,672.56 = 172,465.04 : x
  2. Step 2: Convert to fraction form
    315,708.72/435,672.56 = 172,465.04/x
  3. Step 3: Cross multiply
    315,708.72x = 435,672.56 × 172,465.04
  4. Step 4: Simplify right side
    315,708.72x = 75,138,285,487.30
  5. Step 5: Solve for x
    x = 75,138,285,487.30/315,708.72
  6. Step 6: Final answer
    x = 237,998.77

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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.