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Finding the Fourth Proportional to 706,242.87, 974,634.39 and 383,974.65

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Solution

The fourth proportional to 706,242.87, 974,634.39 and 383,974.65 is: 529,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,242.87 : 974,634.39 = 383,974.65 : x
  2. Step 2: Convert to fraction form
    706,242.87/974,634.39 = 383,974.65/x
  3. Step 3: Cross multiply
    706,242.87x = 974,634.39 × 383,974.65
  4. Step 4: Simplify right side
    706,242.87x = 374,234,898,778.21
  5. Step 5: Solve for x
    x = 374,234,898,778.21/706,242.87
  6. Step 6: Final answer
    x = 529,895.47

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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.