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Finding the Fourth Proportional to 407,648.64, 611,193.84 and 207,581.76

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Solution

The fourth proportional to 407,648.64, 611,193.84 and 207,581.76 is: 311,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,648.64 : 611,193.84 = 207,581.76 : x
  2. Step 2: Convert to fraction form
    407,648.64/611,193.84 = 207,581.76/x
  3. Step 3: Cross multiply
    407,648.64x = 611,193.84 × 207,581.76
  4. Step 4: Simplify right side
    407,648.64x = 126,872,693,008.36
  5. Step 5: Solve for x
    x = 126,872,693,008.36/407,648.64
  6. Step 6: Final answer
    x = 311,230.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.