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Finding the Fourth Proportional to 256,857.90, 385,279.65 and 116,616.30

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Solution

The fourth proportional to 256,857.90, 385,279.65 and 116,616.30 is: 174,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,857.90 : 385,279.65 = 116,616.30 : x
  2. Step 2: Convert to fraction form
    256,857.90/385,279.65 = 116,616.30/x
  3. Step 3: Cross multiply
    256,857.90x = 385,279.65 × 116,616.30
  4. Step 4: Simplify right side
    256,857.90x = 44,929,887,248.30
  5. Step 5: Solve for x
    x = 44,929,887,248.30/256,857.90
  6. Step 6: Final answer
    x = 174,921.18

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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.