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Finding the Fourth Proportional to 256,728.76, 385,184.38 and 114,561.12

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Solution

The fourth proportional to 256,728.76, 385,184.38 and 114,561.12 is: 171,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,728.76 : 385,184.38 = 114,561.12 : x
  2. Step 2: Convert to fraction form
    256,728.76/385,184.38 = 114,561.12/x
  3. Step 3: Cross multiply
    256,728.76x = 385,184.38 × 114,561.12
  4. Step 4: Simplify right side
    256,728.76x = 44,127,153,979.31
  5. Step 5: Solve for x
    x = 44,127,153,979.31/256,728.76
  6. Step 6: Final answer
    x = 171,882.39

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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.