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Finding the Fourth Proportional to 259,146, 387,841.20 and 159,369.48

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Solution

The fourth proportional to 259,146, 387,841.20 and 159,369.48 is: 238,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,146 : 387,841.20 = 159,369.48 : x
  2. Step 2: Convert to fraction form
    259,146/387,841.20 = 159,369.48/x
  3. Step 3: Cross multiply
    259,146x = 387,841.20 × 159,369.48
  4. Step 4: Simplify right side
    259,146x = 61,810,050,366.58
  5. Step 5: Solve for x
    x = 61,810,050,366.58/259,146
  6. Step 6: Final answer
    x = 238,514.39

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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.