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Finding the Fourth Proportional to 680,233.80, 1,019,475.90 and 413,711.40

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Solution

The fourth proportional to 680,233.80, 1,019,475.90 and 413,711.40 is: 620,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,233.80 : 1,019,475.90 = 413,711.40 : x
  2. Step 2: Convert to fraction form
    680,233.80/1,019,475.90 = 413,711.40/x
  3. Step 3: Cross multiply
    680,233.80x = 1,019,475.90 × 413,711.40
  4. Step 4: Simplify right side
    680,233.80x = 421,768,801,855.26
  5. Step 5: Solve for x
    x = 421,768,801,855.26/680,233.80
  6. Step 6: Final answer
    x = 620,035.06

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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.