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Finding the Fourth Proportional to 259,282, 388,988.61 and 72,293.50

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Solution

The fourth proportional to 259,282, 388,988.61 and 72,293.50 is: 108,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,282 : 388,988.61 = 72,293.50 : x
  2. Step 2: Convert to fraction form
    259,282/388,988.61 = 72,293.50/x
  3. Step 3: Cross multiply
    259,282x = 388,988.61 × 72,293.50
  4. Step 4: Simplify right side
    259,282x = 28,121,348,077.04
  5. Step 5: Solve for x
    x = 28,121,348,077.04/259,282
  6. Step 6: Final answer
    x = 108,458.54

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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.