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Finding the Fourth Proportional to 229,591.79, 316,899.16 and 149,014.61

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Solution

The fourth proportional to 229,591.79, 316,899.16 and 149,014.61 is: 205,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,591.79 : 316,899.16 = 149,014.61 : x
  2. Step 2: Convert to fraction form
    229,591.79/316,899.16 = 149,014.61/x
  3. Step 3: Cross multiply
    229,591.79x = 316,899.16 × 149,014.61
  4. Step 4: Simplify right side
    229,591.79x = 47,222,602,779.70
  5. Step 5: Solve for x
    x = 47,222,602,779.70/229,591.79
  6. Step 6: Final answer
    x = 205,680.72

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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.