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Finding the Fourth Proportional to 485,204.40, 727,706.34 and 130,134

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Solution

The fourth proportional to 485,204.40, 727,706.34 and 130,134 is: 195,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,204.40 : 727,706.34 = 130,134 : x
  2. Step 2: Convert to fraction form
    485,204.40/727,706.34 = 130,134/x
  3. Step 3: Cross multiply
    485,204.40x = 727,706.34 × 130,134
  4. Step 4: Simplify right side
    485,204.40x = 94,699,336,849.56
  5. Step 5: Solve for x
    x = 94,699,336,849.56/485,204.40
  6. Step 6: Final answer
    x = 195,174.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.