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Finding the Fourth Proportional to 567,283.38, 782,851.04 and 312,634.56

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Solution

The fourth proportional to 567,283.38, 782,851.04 and 312,634.56 is: 431,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,283.38 : 782,851.04 = 312,634.56 : x
  2. Step 2: Convert to fraction form
    567,283.38/782,851.04 = 312,634.56/x
  3. Step 3: Cross multiply
    567,283.38x = 782,851.04 × 312,634.56
  4. Step 4: Simplify right side
    567,283.38x = 244,746,290,435.94
  5. Step 5: Solve for x
    x = 244,746,290,435.94/567,283.38
  6. Step 6: Final answer
    x = 431,435.68

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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.