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Finding the Fourth Proportional to 259,864, 358,614.48 and 140,632

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Solution

The fourth proportional to 259,864, 358,614.48 and 140,632 is: 194,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,864 : 358,614.48 = 140,632 : x
  2. Step 2: Convert to fraction form
    259,864/358,614.48 = 140,632/x
  3. Step 3: Cross multiply
    259,864x = 358,614.48 × 140,632
  4. Step 4: Simplify right side
    259,864x = 50,432,671,551.36
  5. Step 5: Solve for x
    x = 50,432,671,551.36/259,864
  6. Step 6: Final answer
    x = 194,073.33

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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.