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Finding the Fourth Proportional to 429,092.58, 643,643.73 and 129,575.64

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Solution

The fourth proportional to 429,092.58, 643,643.73 and 129,575.64 is: 194,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,092.58 : 643,643.73 = 129,575.64 : x
  2. Step 2: Convert to fraction form
    429,092.58/643,643.73 = 129,575.64/x
  3. Step 3: Cross multiply
    429,092.58x = 643,643.73 × 129,575.64
  4. Step 4: Simplify right side
    429,092.58x = 83,400,548,246.74
  5. Step 5: Solve for x
    x = 83,400,548,246.74/429,092.58
  6. Step 6: Final answer
    x = 194,364.93

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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.