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Finding the Fourth Proportional to 429,054.98, 643,686.52 and 129,517.66

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Solution

The fourth proportional to 429,054.98, 643,686.52 and 129,517.66 is: 194,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,054.98 : 643,686.52 = 129,517.66 : x
  2. Step 2: Convert to fraction form
    429,054.98/643,686.52 = 129,517.66/x
  3. Step 3: Cross multiply
    429,054.98x = 643,686.52 × 129,517.66
  4. Step 4: Simplify right side
    429,054.98x = 83,368,771,843.94
  5. Step 5: Solve for x
    x = 83,368,771,843.94/429,054.98
  6. Step 6: Final answer
    x = 194,307.90

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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.