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Finding the Fourth Proportional to 429,193.80, 643,790.70 and 129,720.60

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Solution

The fourth proportional to 429,193.80, 643,790.70 and 129,720.60 is: 194,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,193.80 : 643,790.70 = 129,720.60 : x
  2. Step 2: Convert to fraction form
    429,193.80/643,790.70 = 129,720.60/x
  3. Step 3: Cross multiply
    429,193.80x = 643,790.70 × 129,720.60
  4. Step 4: Simplify right side
    429,193.80x = 83,512,915,878.42
  5. Step 5: Solve for x
    x = 83,512,915,878.42/429,193.80
  6. Step 6: Final answer
    x = 194,580.90

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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.