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Finding the Fourth Proportional to 502,413.48, 693,290.37 and 287,504.28

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Solution

The fourth proportional to 502,413.48, 693,290.37 and 287,504.28 is: 396,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,413.48 : 693,290.37 = 287,504.28 : x
  2. Step 2: Convert to fraction form
    502,413.48/693,290.37 = 287,504.28/x
  3. Step 3: Cross multiply
    502,413.48x = 693,290.37 × 287,504.28
  4. Step 4: Simplify right side
    502,413.48x = 199,323,948,657.78
  5. Step 5: Solve for x
    x = 199,323,948,657.78/502,413.48
  6. Step 6: Final answer
    x = 396,732.88

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1.5x scale

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.