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Finding the Fourth Proportional to 309,402.89, 464,236.66 and 129,530.34

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Solution

The fourth proportional to 309,402.89, 464,236.66 and 129,530.34 is: 194,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,402.89 : 464,236.66 = 129,530.34 : x
  2. Step 2: Convert to fraction form
    309,402.89/464,236.66 = 129,530.34/x
  3. Step 3: Cross multiply
    309,402.89x = 464,236.66 × 129,530.34
  4. Step 4: Simplify right side
    309,402.89x = 60,132,730,089.08
  5. Step 5: Solve for x
    x = 60,132,730,089.08/309,402.89
  6. Step 6: Final answer
    x = 194,350.90

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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.