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Finding the Fourth Proportional to 259,570.50, 358,207.29 and 140,338.50

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Solution

The fourth proportional to 259,570.50, 358,207.29 and 140,338.50 is: 193,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,570.50 : 358,207.29 = 140,338.50 : x
  2. Step 2: Convert to fraction form
    259,570.50/358,207.29 = 140,338.50/x
  3. Step 3: Cross multiply
    259,570.50x = 358,207.29 × 140,338.50
  4. Step 4: Simplify right side
    259,570.50x = 50,270,273,767.67
  5. Step 5: Solve for x
    x = 50,270,273,767.67/259,570.50
  6. Step 6: Final answer
    x = 193,667.13

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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.