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Finding the Fourth Proportional to 407,862.20, 611,793.30 and 313,274.46

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Solution

The fourth proportional to 407,862.20, 611,793.30 and 313,274.46 is: 469,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,862.20 : 611,793.30 = 313,274.46 : x
  2. Step 2: Convert to fraction form
    407,862.20/611,793.30 = 313,274.46/x
  3. Step 3: Cross multiply
    407,862.20x = 611,793.30 × 313,274.46
  4. Step 4: Simplify right side
    407,862.20x = 191,659,215,689.12
  5. Step 5: Solve for x
    x = 191,659,215,689.12/407,862.20
  6. Step 6: Final answer
    x = 469,911.69

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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.