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Finding the Fourth Proportional to 259,295, 389,008.10 and 72,306.52

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Solution

The fourth proportional to 259,295, 389,008.10 and 72,306.52 is: 108,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,295 : 389,008.10 = 72,306.52 : x
  2. Step 2: Convert to fraction form
    259,295/389,008.10 = 72,306.52/x
  3. Step 3: Cross multiply
    259,295x = 389,008.10 × 72,306.52
  4. Step 4: Simplify right side
    259,295x = 28,127,821,962.81
  5. Step 5: Solve for x
    x = 28,127,821,962.81/259,295
  6. Step 6: Final answer
    x = 108,478.07

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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.