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Finding the Fourth Proportional to 256,212.64, 353,692.68 and 148,761.28

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Solution

The fourth proportional to 256,212.64, 353,692.68 and 148,761.28 is: 205,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,212.64 : 353,692.68 = 148,761.28 : x
  2. Step 2: Convert to fraction form
    256,212.64/353,692.68 = 148,761.28/x
  3. Step 3: Cross multiply
    256,212.64x = 353,692.68 × 148,761.28
  4. Step 4: Simplify right side
    256,212.64x = 52,615,775,803.43
  5. Step 5: Solve for x
    x = 52,615,775,803.43/256,212.64
  6. Step 6: Final answer
    x = 205,359.80

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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.