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Finding the Fourth Proportional to 457,968.80, 686,953.20 and 248,016.80

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Solution

The fourth proportional to 457,968.80, 686,953.20 and 248,016.80 is: 372,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,968.80 : 686,953.20 = 248,016.80 : x
  2. Step 2: Convert to fraction form
    457,968.80/686,953.20 = 248,016.80/x
  3. Step 3: Cross multiply
    457,968.80x = 686,953.20 × 248,016.80
  4. Step 4: Simplify right side
    457,968.80x = 170,375,934,413.76
  5. Step 5: Solve for x
    x = 170,375,934,413.76/457,968.80
  6. Step 6: Final answer
    x = 372,025.20

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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.