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Finding the Fourth Proportional to 3,238,978.80, 4,861,405.80 and 1,642,652.40

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Solution

The fourth proportional to 3,238,978.80, 4,861,405.80 and 1,642,652.40 is: 2,465,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,978.80 : 4,861,405.80 = 1,642,652.40 : x
  2. Step 2: Convert to fraction form
    3,238,978.80/4,861,405.80 = 1,642,652.40/x
  3. Step 3: Cross multiply
    3,238,978.80x = 4,861,405.80 × 1,642,652.40
  4. Step 4: Simplify right side
    3,238,978.80x = 7,985,599,904,743.92
  5. Step 5: Solve for x
    x = 7,985,599,904,743.92/3,238,978.80
  6. Step 6: Final answer
    x = 2,465,468.41

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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.