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Finding the Fourth Proportional to 429,087.70, 643,631.55 and 409,404.70

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Solution

The fourth proportional to 429,087.70, 643,631.55 and 409,404.70 is: 614,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,087.70 : 643,631.55 = 409,404.70 : x
  2. Step 2: Convert to fraction form
    429,087.70/643,631.55 = 409,404.70/x
  3. Step 3: Cross multiply
    429,087.70x = 643,631.55 × 409,404.70
  4. Step 4: Simplify right side
    429,087.70x = 263,505,781,638.29
  5. Step 5: Solve for x
    x = 263,505,781,638.29/429,087.70
  6. Step 6: Final answer
    x = 614,107.05

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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.