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Finding the Fourth Proportional to 256,459.50, 353,904.53 and 147,580.65

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Solution

The fourth proportional to 256,459.50, 353,904.53 and 147,580.65 is: 203,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,459.50 : 353,904.53 = 147,580.65 : x
  2. Step 2: Convert to fraction form
    256,459.50/353,904.53 = 147,580.65/x
  3. Step 3: Cross multiply
    256,459.50x = 353,904.53 × 147,580.65
  4. Step 4: Simplify right side
    256,459.50x = 52,229,459,837.44
  5. Step 5: Solve for x
    x = 52,229,459,837.44/256,459.50
  6. Step 6: Final answer
    x = 203,655.78

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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.