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Finding the Fourth Proportional to 429,141.78, 643,772.81 and 129,588.39

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Solution

The fourth proportional to 429,141.78, 643,772.81 and 129,588.39 is: 194,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,141.78 : 643,772.81 = 129,588.39 : x
  2. Step 2: Convert to fraction form
    429,141.78/643,772.81 = 129,588.39/x
  3. Step 3: Cross multiply
    429,141.78x = 643,772.81 × 129,588.39
  4. Step 4: Simplify right side
    429,141.78x = 83,425,482,297.65
  5. Step 5: Solve for x
    x = 83,425,482,297.65/429,141.78
  6. Step 6: Final answer
    x = 194,400.75

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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.