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Finding the Fourth Proportional to 723,722.87, 998,734.35 and 413,620.28

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Solution

The fourth proportional to 723,722.87, 998,734.35 and 413,620.28 is: 570,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,722.87 : 998,734.35 = 413,620.28 : x
  2. Step 2: Convert to fraction form
    723,722.87/998,734.35 = 413,620.28/x
  3. Step 3: Cross multiply
    723,722.87x = 998,734.35 × 413,620.28
  4. Step 4: Simplify right side
    723,722.87x = 413,096,776,498.95
  5. Step 5: Solve for x
    x = 413,096,776,498.95/723,722.87
  6. Step 6: Final answer
    x = 570,794.15

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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.