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Finding the Fourth Proportional to 229,312.64, 316,445.31 and 127,335.44

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Solution

The fourth proportional to 229,312.64, 316,445.31 and 127,335.44 is: 175,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,312.64 : 316,445.31 = 127,335.44 : x
  2. Step 2: Convert to fraction form
    229,312.64/316,445.31 = 127,335.44/x
  3. Step 3: Cross multiply
    229,312.64x = 316,445.31 × 127,335.44
  4. Step 4: Simplify right side
    229,312.64x = 40,294,701,202.56
  5. Step 5: Solve for x
    x = 40,294,701,202.56/229,312.64
  6. Step 6: Final answer
    x = 175,719.50

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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.