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Finding the Fourth Proportional to 498,452.44, 687,840.24 and 283,572.40

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Solution

The fourth proportional to 498,452.44, 687,840.24 and 283,572.40 is: 391,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,452.44 : 687,840.24 = 283,572.40 : x
  2. Step 2: Convert to fraction form
    498,452.44/687,840.24 = 283,572.40/x
  3. Step 3: Cross multiply
    498,452.44x = 687,840.24 × 283,572.40
  4. Step 4: Simplify right side
    498,452.44x = 195,052,507,673.38
  5. Step 5: Solve for x
    x = 195,052,507,673.38/498,452.44
  6. Step 6: Final answer
    x = 391,316.19

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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.