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Finding the Fourth Proportional to 613,672.20, 920,945.70 and 347,149.80

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Solution

The fourth proportional to 613,672.20, 920,945.70 and 347,149.80 is: 520,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,672.20 : 920,945.70 = 347,149.80 : x
  2. Step 2: Convert to fraction form
    613,672.20/920,945.70 = 347,149.80/x
  3. Step 3: Cross multiply
    613,672.20x = 920,945.70 × 347,149.80
  4. Step 4: Simplify right side
    613,672.20x = 319,706,115,565.86
  5. Step 5: Solve for x
    x = 319,706,115,565.86/613,672.20
  6. Step 6: Final answer
    x = 520,972.13

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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.