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Finding the Fourth Proportional to 485,978.45, 728,376.67 and 343,864.68

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Solution

The fourth proportional to 485,978.45, 728,376.67 and 343,864.68 is: 515,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,978.45 : 728,376.67 = 343,864.68 : x
  2. Step 2: Convert to fraction form
    485,978.45/728,376.67 = 343,864.68/x
  3. Step 3: Cross multiply
    485,978.45x = 728,376.67 × 343,864.68
  4. Step 4: Simplify right side
    485,978.45x = 250,463,010,549.02
  5. Step 5: Solve for x
    x = 250,463,010,549.02/485,978.45
  6. Step 6: Final answer
    x = 515,378.84

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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.