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Finding the Fourth Proportional to 429,515.76, 643,787.52 and 218,708.40

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Solution

The fourth proportional to 429,515.76, 643,787.52 and 218,708.40 is: 327,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,515.76 : 643,787.52 = 218,708.40 : x
  2. Step 2: Convert to fraction form
    429,515.76/643,787.52 = 218,708.40/x
  3. Step 3: Cross multiply
    429,515.76x = 643,787.52 × 218,708.40
  4. Step 4: Simplify right side
    429,515.76x = 140,801,738,439.17
  5. Step 5: Solve for x
    x = 140,801,738,439.17/429,515.76
  6. Step 6: Final answer
    x = 327,815.07

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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.