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Finding the Fourth Proportional to 253,207.76, 349,428.96 and 140,032.40

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Solution

The fourth proportional to 253,207.76, 349,428.96 and 140,032.40 is: 193,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,207.76 : 349,428.96 = 140,032.40 : x
  2. Step 2: Convert to fraction form
    253,207.76/349,428.96 = 140,032.40/x
  3. Step 3: Cross multiply
    253,207.76x = 349,428.96 × 140,032.40
  4. Step 4: Simplify right side
    253,207.76x = 48,931,375,898.30
  5. Step 5: Solve for x
    x = 48,931,375,898.30/253,207.76
  6. Step 6: Final answer
    x = 193,245.96

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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.