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Finding the Fourth Proportional to 315,992.16, 436,070.72 and 172,752.20

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Solution

The fourth proportional to 315,992.16, 436,070.72 and 172,752.20 is: 238,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,992.16 : 436,070.72 = 172,752.20 : x
  2. Step 2: Convert to fraction form
    315,992.16/436,070.72 = 172,752.20/x
  3. Step 3: Cross multiply
    315,992.16x = 436,070.72 × 172,752.20
  4. Step 4: Simplify right side
    315,992.16x = 75,332,178,575.27
  5. Step 5: Solve for x
    x = 75,332,178,575.27/315,992.16
  6. Step 6: Final answer
    x = 238,398.88

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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.