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Finding the Fourth Proportional to 432,858.85, 649,320.87 and 129,229

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Solution

The fourth proportional to 432,858.85, 649,320.87 and 129,229 is: 193,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858.85 : 649,320.87 = 129,229 : x
  2. Step 2: Convert to fraction form
    432,858.85/649,320.87 = 129,229/x
  3. Step 3: Cross multiply
    432,858.85x = 649,320.87 × 129,229
  4. Step 4: Simplify right side
    432,858.85x = 83,911,086,709.23
  5. Step 5: Solve for x
    x = 83,911,086,709.23/432,858.85
  6. Step 6: Final answer
    x = 193,853.23

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1.5x scale

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.