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Finding the Fourth Proportional to 690,677, 1,036,163.70 and 391,301

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Solution

The fourth proportional to 690,677, 1,036,163.70 and 391,301 is: 587,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,677 : 1,036,163.70 = 391,301 : x
  2. Step 2: Convert to fraction form
    690,677/1,036,163.70 = 391,301/x
  3. Step 3: Cross multiply
    690,677x = 1,036,163.70 × 391,301
  4. Step 4: Simplify right side
    690,677x = 405,451,891,973.70
  5. Step 5: Solve for x
    x = 405,451,891,973.70/690,677
  6. Step 6: Final answer
    x = 587,035.46

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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.