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Finding the Fourth Proportional to 287,413.20, 431,086.92 and 77,034.72

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Solution

The fourth proportional to 287,413.20, 431,086.92 and 77,034.72 is: 115,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,413.20 : 431,086.92 = 77,034.72 : x
  2. Step 2: Convert to fraction form
    287,413.20/431,086.92 = 77,034.72/x
  3. Step 3: Cross multiply
    287,413.20x = 431,086.92 × 77,034.72
  4. Step 4: Simplify right side
    287,413.20x = 33,208,660,177.86
  5. Step 5: Solve for x
    x = 33,208,660,177.86/287,413.20
  6. Step 6: Final answer
    x = 115,543.27

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1.5x scale

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.