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Finding the Fourth Proportional to 256,819.20, 385,228.80 and 162,340.80

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Solution

The fourth proportional to 256,819.20, 385,228.80 and 162,340.80 is: 243,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,819.20 : 385,228.80 = 162,340.80 : x
  2. Step 2: Convert to fraction form
    256,819.20/385,228.80 = 162,340.80/x
  3. Step 3: Cross multiply
    256,819.20x = 385,228.80 × 162,340.80
  4. Step 4: Simplify right side
    256,819.20x = 62,538,351,575.04
  5. Step 5: Solve for x
    x = 62,538,351,575.04/256,819.20
  6. Step 6: Final answer
    x = 243,511.20

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1.5x scale

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.