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Finding the Fourth Proportional to 256,847.60, 385,708.80 and 182,489.60

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Solution

The fourth proportional to 256,847.60, 385,708.80 and 182,489.60 is: 274,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,847.60 : 385,708.80 = 182,489.60 : x
  2. Step 2: Convert to fraction form
    256,847.60/385,708.80 = 182,489.60/x
  3. Step 3: Cross multiply
    256,847.60x = 385,708.80 × 182,489.60
  4. Step 4: Simplify right side
    256,847.60x = 70,387,844,628.48
  5. Step 5: Solve for x
    x = 70,387,844,628.48/256,847.60
  6. Step 6: Final answer
    x = 274,045.17

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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.