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Finding the Fourth Proportional to 311,903.70, 468,017.55 and 145,691.70

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Solution

The fourth proportional to 311,903.70, 468,017.55 and 145,691.70 is: 218,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,903.70 : 468,017.55 = 145,691.70 : x
  2. Step 2: Convert to fraction form
    311,903.70/468,017.55 = 145,691.70/x
  3. Step 3: Cross multiply
    311,903.70x = 468,017.55 × 145,691.70
  4. Step 4: Simplify right side
    311,903.70x = 68,186,272,489.34
  5. Step 5: Solve for x
    x = 68,186,272,489.34/311,903.70
  6. Step 6: Final answer
    x = 218,613.22

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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.