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Finding the Fourth Proportional to 310,012.70, 465,019.05 and 132,719.90

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Solution

The fourth proportional to 310,012.70, 465,019.05 and 132,719.90 is: 199,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,012.70 : 465,019.05 = 132,719.90 : x
  2. Step 2: Convert to fraction form
    310,012.70/465,019.05 = 132,719.90/x
  3. Step 3: Cross multiply
    310,012.70x = 465,019.05 × 132,719.90
  4. Step 4: Simplify right side
    310,012.70x = 61,717,281,814.10
  5. Step 5: Solve for x
    x = 61,717,281,814.10/310,012.70
  6. Step 6: Final answer
    x = 199,079.85

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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.