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Finding the Fourth Proportional to 429,375.05, 643,065.97 and 414,428.73

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Solution

The fourth proportional to 429,375.05, 643,065.97 and 414,428.73 is: 620,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,375.05 : 643,065.97 = 414,428.73 : x
  2. Step 2: Convert to fraction form
    429,375.05/643,065.97 = 414,428.73/x
  3. Step 3: Cross multiply
    429,375.05x = 643,065.97 × 414,428.73
  4. Step 4: Simplify right side
    429,375.05x = 266,505,013,253.32
  5. Step 5: Solve for x
    x = 266,505,013,253.32/429,375.05
  6. Step 6: Final answer
    x = 620,681.18

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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.