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Finding the Fourth Proportional to 498,283.80, 687,654.01 and 280,567.34

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Solution

The fourth proportional to 498,283.80, 687,654.01 and 280,567.34 is: 387,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,283.80 : 687,654.01 = 280,567.34 : x
  2. Step 2: Convert to fraction form
    498,283.80/687,654.01 = 280,567.34/x
  3. Step 3: Cross multiply
    498,283.80x = 687,654.01 × 280,567.34
  4. Step 4: Simplify right side
    498,283.80x = 192,933,258,207.04
  5. Step 5: Solve for x
    x = 192,933,258,207.04/498,283.80
  6. Step 6: Final answer
    x = 387,195.52

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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.