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Finding the Fourth Proportional to 315,721.68, 435,694.32 and 172,489.92

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Solution

The fourth proportional to 315,721.68, 435,694.32 and 172,489.92 is: 238,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,721.68 : 435,694.32 = 172,489.92 : x
  2. Step 2: Convert to fraction form
    315,721.68/435,694.32 = 172,489.92/x
  3. Step 3: Cross multiply
    315,721.68x = 435,694.32 × 172,489.92
  4. Step 4: Simplify right side
    315,721.68x = 75,152,878,401.25
  5. Step 5: Solve for x
    x = 75,152,878,401.25/315,721.68
  6. Step 6: Final answer
    x = 238,035.22

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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.