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Finding the Fourth Proportional to 498,199.53, 687,609.11 and 312,017.27

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Solution

The fourth proportional to 498,199.53, 687,609.11 and 312,017.27 is: 430,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,199.53 : 687,609.11 = 312,017.27 : x
  2. Step 2: Convert to fraction form
    498,199.53/687,609.11 = 312,017.27/x
  3. Step 3: Cross multiply
    498,199.53x = 687,609.11 × 312,017.27
  4. Step 4: Simplify right side
    498,199.53x = 214,545,912,331.20
  5. Step 5: Solve for x
    x = 214,545,912,331.20/498,199.53
  6. Step 6: Final answer
    x = 430,642.54

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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.