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Finding the Fourth Proportional to 458,209.87, 687,413.67 and 138,335.20

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Solution

The fourth proportional to 458,209.87, 687,413.67 and 138,335.20 is: 207,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,209.87 : 687,413.67 = 138,335.20 : x
  2. Step 2: Convert to fraction form
    458,209.87/687,413.67 = 138,335.20/x
  3. Step 3: Cross multiply
    458,209.87x = 687,413.67 × 138,335.20
  4. Step 4: Simplify right side
    458,209.87x = 95,093,507,522.18
  5. Step 5: Solve for x
    x = 95,093,507,522.18/458,209.87
  6. Step 6: Final answer
    x = 207,532.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.