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Finding the Fourth Proportional to 314,752.90, 434,359.18 and 171,512.88

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Solution

The fourth proportional to 314,752.90, 434,359.18 and 171,512.88 is: 236,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,752.90 : 434,359.18 = 171,512.88 : x
  2. Step 2: Convert to fraction form
    314,752.90/434,359.18 = 171,512.88/x
  3. Step 3: Cross multiply
    314,752.90x = 434,359.18 × 171,512.88
  4. Step 4: Simplify right side
    314,752.90x = 74,498,193,916.24
  5. Step 5: Solve for x
    x = 74,498,193,916.24/314,752.90
  6. Step 6: Final answer
    x = 236,687.87

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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.