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Finding the Fourth Proportional to 256,329.60, 384,494.40 and 106,520.10

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Solution

The fourth proportional to 256,329.60, 384,494.40 and 106,520.10 is: 159,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,329.60 : 384,494.40 = 106,520.10 : x
  2. Step 2: Convert to fraction form
    256,329.60/384,494.40 = 106,520.10/x
  3. Step 3: Cross multiply
    256,329.60x = 384,494.40 × 106,520.10
  4. Step 4: Simplify right side
    256,329.60x = 40,956,381,937.44
  5. Step 5: Solve for x
    x = 40,956,381,937.44/256,329.60
  6. Step 6: Final answer
    x = 159,780.15

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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.