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Finding the Fourth Proportional to 498,062.49, 687,323.03 and 283,202.54

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Solution

The fourth proportional to 498,062.49, 687,323.03 and 283,202.54 is: 390,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,062.49 : 687,323.03 = 283,202.54 : x
  2. Step 2: Convert to fraction form
    498,062.49/687,323.03 = 283,202.54/x
  3. Step 3: Cross multiply
    498,062.49x = 687,323.03 × 283,202.54
  4. Step 4: Simplify right side
    498,062.49x = 194,651,630,284.03
  5. Step 5: Solve for x
    x = 194,651,630,284.03/498,062.49
  6. Step 6: Final answer
    x = 390,817.68

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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.