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Finding the Fourth Proportional to 316,023.26, 436,112.88 and 172,792.54

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Solution

The fourth proportional to 316,023.26, 436,112.88 and 172,792.54 is: 238,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,023.26 : 436,112.88 = 172,792.54 : x
  2. Step 2: Convert to fraction form
    316,023.26/436,112.88 = 172,792.54/x
  3. Step 3: Cross multiply
    316,023.26x = 436,112.88 × 172,792.54
  4. Step 4: Simplify right side
    316,023.26x = 75,357,052,159.08
  5. Step 5: Solve for x
    x = 75,357,052,159.08/316,023.26
  6. Step 6: Final answer
    x = 238,454.14

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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.