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Finding the Fourth Proportional to 256,806.75, 385,385.10 and 90,594.75

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Solution

The fourth proportional to 256,806.75, 385,385.10 and 90,594.75 is: 135,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,806.75 : 385,385.10 = 90,594.75 : x
  2. Step 2: Convert to fraction form
    256,806.75/385,385.10 = 90,594.75/x
  3. Step 3: Cross multiply
    256,806.75x = 385,385.10 × 90,594.75
  4. Step 4: Simplify right side
    256,806.75x = 34,913,866,788.23
  5. Step 5: Solve for x
    x = 34,913,866,788.23/256,806.75
  6. Step 6: Final answer
    x = 135,953.85

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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.