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Finding the Fourth Proportional to 256,308.48, 353,672.64 and 147,407.04

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Solution

The fourth proportional to 256,308.48, 353,672.64 and 147,407.04 is: 203,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,308.48 : 353,672.64 = 147,407.04 : x
  2. Step 2: Convert to fraction form
    256,308.48/353,672.64 = 147,407.04/x
  3. Step 3: Cross multiply
    256,308.48x = 353,672.64 × 147,407.04
  4. Step 4: Simplify right side
    256,308.48x = 52,133,836,991.39
  5. Step 5: Solve for x
    x = 52,133,836,991.39/256,308.48
  6. Step 6: Final answer
    x = 203,402.70

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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.