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Finding the Fourth Proportional to 429,065.48, 643,702.26 and 129,528.17

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Solution

The fourth proportional to 429,065.48, 643,702.26 and 129,528.17 is: 194,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,065.48 : 643,702.26 = 129,528.17 : x
  2. Step 2: Convert to fraction form
    429,065.48/643,702.26 = 129,528.17/x
  3. Step 3: Cross multiply
    429,065.48x = 643,702.26 × 129,528.17
  4. Step 4: Simplify right side
    429,065.48x = 83,377,575,762.66
  5. Step 5: Solve for x
    x = 83,377,575,762.66/429,065.48
  6. Step 6: Final answer
    x = 194,323.66

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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.