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Finding the Fourth Proportional to 259,605, 358,255.98 and 140,373

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Solution

The fourth proportional to 259,605, 358,255.98 and 140,373 is: 193,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,605 : 358,255.98 = 140,373 : x
  2. Step 2: Convert to fraction form
    259,605/358,255.98 = 140,373/x
  3. Step 3: Cross multiply
    259,605x = 358,255.98 × 140,373
  4. Step 4: Simplify right side
    259,605x = 50,289,466,680.54
  5. Step 5: Solve for x
    x = 50,289,466,680.54/259,605
  6. Step 6: Final answer
    x = 193,715.32

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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.