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Finding the Fourth Proportional to 256,906.60, 385,359.90 and 99,140.20

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Solution

The fourth proportional to 256,906.60, 385,359.90 and 99,140.20 is: 148,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.60 : 385,359.90 = 99,140.20 : x
  2. Step 2: Convert to fraction form
    256,906.60/385,359.90 = 99,140.20/x
  3. Step 3: Cross multiply
    256,906.60x = 385,359.90 × 99,140.20
  4. Step 4: Simplify right side
    256,906.60x = 38,204,657,557.98
  5. Step 5: Solve for x
    x = 38,204,657,557.98/256,906.60
  6. Step 6: Final answer
    x = 148,710.30

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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.