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Finding the Fourth Proportional to 315,616.16, 435,543.32 and 172,376.78

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Solution

The fourth proportional to 315,616.16, 435,543.32 and 172,376.78 is: 237,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,616.16 : 435,543.32 = 172,376.78 : x
  2. Step 2: Convert to fraction form
    315,616.16/435,543.32 = 172,376.78/x
  3. Step 3: Cross multiply
    315,616.16x = 435,543.32 × 172,376.78
  4. Step 4: Simplify right side
    315,616.16x = 75,077,555,052.11
  5. Step 5: Solve for x
    x = 75,077,555,052.11/315,616.16
  6. Step 6: Final answer
    x = 237,876.14

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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.