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Finding the Fourth Proportional to 827,958, 1,142,614.42 and 465,380.76

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Solution

The fourth proportional to 827,958, 1,142,614.42 and 465,380.76 is: 642,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,958 : 1,142,614.42 = 465,380.76 : x
  2. Step 2: Convert to fraction form
    827,958/1,142,614.42 = 465,380.76/x
  3. Step 3: Cross multiply
    827,958x = 1,142,614.42 × 465,380.76
  4. Step 4: Simplify right side
    827,958x = 531,750,767,166.56
  5. Step 5: Solve for x
    x = 531,750,767,166.56/827,958
  6. Step 6: Final answer
    x = 642,243.65

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1.5x scale

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.