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Finding the Fourth Proportional to 442,871.02, 611,144.42 and 261,641.32

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Solution

The fourth proportional to 442,871.02, 611,144.42 and 261,641.32 is: 361,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,871.02 : 611,144.42 = 261,641.32 : x
  2. Step 2: Convert to fraction form
    442,871.02/611,144.42 = 261,641.32/x
  3. Step 3: Cross multiply
    442,871.02x = 611,144.42 × 261,641.32
  4. Step 4: Simplify right side
    442,871.02x = 159,900,632,759.43
  5. Step 5: Solve for x
    x = 159,900,632,759.43/442,871.02
  6. Step 6: Final answer
    x = 361,054.63

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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.