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Finding the Fourth Proportional to 256,209, 353,541.56 and 148,758.04

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Solution

The fourth proportional to 256,209, 353,541.56 and 148,758.04 is: 205,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,209 : 353,541.56 = 148,758.04 : x
  2. Step 2: Convert to fraction form
    256,209/353,541.56 = 148,758.04/x
  3. Step 3: Cross multiply
    256,209x = 353,541.56 × 148,758.04
  4. Step 4: Simplify right side
    256,209x = 52,592,149,524.14
  5. Step 5: Solve for x
    x = 52,592,149,524.14/256,209
  6. Step 6: Final answer
    x = 205,270.50

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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.