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Finding the Fourth Proportional to 498,413.80, 687,787.02 and 283,533.64

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Solution

The fourth proportional to 498,413.80, 687,787.02 and 283,533.64 is: 391,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,413.80 : 687,787.02 = 283,533.64 : x
  2. Step 2: Convert to fraction form
    498,413.80/687,787.02 = 283,533.64/x
  3. Step 3: Cross multiply
    498,413.80x = 687,787.02 × 283,533.64
  4. Step 4: Simplify right side
    498,413.80x = 195,010,757,325.35
  5. Step 5: Solve for x
    x = 195,010,757,325.35/498,413.80
  6. Step 6: Final answer
    x = 391,262.76

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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.