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Finding the Fourth Proportional to 256,937.60, 385,233.60 and 137,014.40

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Solution

The fourth proportional to 256,937.60, 385,233.60 and 137,014.40 is: 205,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,937.60 : 385,233.60 = 137,014.40 : x
  2. Step 2: Convert to fraction form
    256,937.60/385,233.60 = 137,014.40/x
  3. Step 3: Cross multiply
    256,937.60x = 385,233.60 × 137,014.40
  4. Step 4: Simplify right side
    256,937.60x = 52,782,550,563.84
  5. Step 5: Solve for x
    x = 52,782,550,563.84/256,937.60
  6. Step 6: Final answer
    x = 205,429.45

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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.