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Finding the Fourth Proportional to 259,564, 358,198.40 and 140,332

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Solution

The fourth proportional to 259,564, 358,198.40 and 140,332 is: 193,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,564 : 358,198.40 = 140,332 : x
  2. Step 2: Convert to fraction form
    259,564/358,198.40 = 140,332/x
  3. Step 3: Cross multiply
    259,564x = 358,198.40 × 140,332
  4. Step 4: Simplify right side
    259,564x = 50,266,697,868.80
  5. Step 5: Solve for x
    x = 50,266,697,868.80/259,564
  6. Step 6: Final answer
    x = 193,658.20

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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.