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Finding the Fourth Proportional to 720,703.46, 994,565.22 and 414,839.90

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Solution

The fourth proportional to 720,703.46, 994,565.22 and 414,839.90 is: 572,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,703.46 : 994,565.22 = 414,839.90 : x
  2. Step 2: Convert to fraction form
    720,703.46/994,565.22 = 414,839.90/x
  3. Step 3: Cross multiply
    720,703.46x = 994,565.22 × 414,839.90
  4. Step 4: Simplify right side
    720,703.46x = 412,585,336,408.28
  5. Step 5: Solve for x
    x = 412,585,336,408.28/720,703.46
  6. Step 6: Final answer
    x = 572,475.86

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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.