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Finding the Fourth Proportional to 567,282.80, 782,843.32 and 312,628.52

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Solution

The fourth proportional to 567,282.80, 782,843.32 and 312,628.52 is: 431,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,282.80 : 782,843.32 = 312,628.52 : x
  2. Step 2: Convert to fraction form
    567,282.80/782,843.32 = 312,628.52/x
  3. Step 3: Cross multiply
    567,282.80x = 782,843.32 × 312,628.52
  4. Step 4: Simplify right side
    567,282.80x = 244,739,148,523.49
  5. Step 5: Solve for x
    x = 244,739,148,523.49/567,282.80
  6. Step 6: Final answer
    x = 431,423.53

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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.