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Finding the Fourth Proportional to 256,457.25, 353,901.42 and 147,578.40

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Solution

The fourth proportional to 256,457.25, 353,901.42 and 147,578.40 is: 203,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,457.25 : 353,901.42 = 147,578.40 : x
  2. Step 2: Convert to fraction form
    256,457.25/353,901.42 = 147,578.40/x
  3. Step 3: Cross multiply
    256,457.25x = 353,901.42 × 147,578.40
  4. Step 4: Simplify right side
    256,457.25x = 52,228,205,321.33
  5. Step 5: Solve for x
    x = 52,228,205,321.33/256,457.25
  6. Step 6: Final answer
    x = 203,652.68

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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.