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Finding the Fourth Proportional to 429,199.88, 643,914.63 and 148,717.13

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Solution

The fourth proportional to 429,199.88, 643,914.63 and 148,717.13 is: 223,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,199.88 : 643,914.63 = 148,717.13 : x
  2. Step 2: Convert to fraction form
    429,199.88/643,914.63 = 148,717.13/x
  3. Step 3: Cross multiply
    429,199.88x = 643,914.63 × 148,717.13
  4. Step 4: Simplify right side
    429,199.88x = 95,761,132,519.04
  5. Step 5: Solve for x
    x = 95,761,132,519.04/429,199.88
  6. Step 6: Final answer
    x = 223,115.47

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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.