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Finding the Fourth Proportional to 256,988.28, 354,479.28 and 206,123.06

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Solution

The fourth proportional to 256,988.28, 354,479.28 and 206,123.06 is: 284,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,988.28 : 354,479.28 = 206,123.06 : x
  2. Step 2: Convert to fraction form
    256,988.28/354,479.28 = 206,123.06/x
  3. Step 3: Cross multiply
    256,988.28x = 354,479.28 × 206,123.06
  4. Step 4: Simplify right side
    256,988.28x = 73,066,353,900.20
  5. Step 5: Solve for x
    x = 73,066,353,900.20/256,988.28
  6. Step 6: Final answer
    x = 284,317.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.