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Finding the Fourth Proportional to 538,698.18, 743,400.50 and 296,979.86

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Solution

The fourth proportional to 538,698.18, 743,400.50 and 296,979.86 is: 409,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,698.18 : 743,400.50 = 296,979.86 : x
  2. Step 2: Convert to fraction form
    538,698.18/743,400.50 = 296,979.86/x
  3. Step 3: Cross multiply
    538,698.18x = 743,400.50 × 296,979.86
  4. Step 4: Simplify right side
    538,698.18x = 220,774,976,413.93
  5. Step 5: Solve for x
    x = 220,774,976,413.93/538,698.18
  6. Step 6: Final answer
    x = 409,830.56

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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.