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Finding the Fourth Proportional to 429,061.97, 643,697.01 and 129,524.67

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Solution

The fourth proportional to 429,061.97, 643,697.01 and 129,524.67 is: 194,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,061.97 : 643,697.01 = 129,524.67 : x
  2. Step 2: Convert to fraction form
    429,061.97/643,697.01 = 129,524.67/x
  3. Step 3: Cross multiply
    429,061.97x = 643,697.01 × 129,524.67
  4. Step 4: Simplify right side
    429,061.97x = 83,374,642,800.24
  5. Step 5: Solve for x
    x = 83,374,642,800.24/429,061.97
  6. Step 6: Final answer
    x = 194,318.42

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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.