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Finding the Fourth Proportional to 258,709.80, 357,019.02 and 145,532.56

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Solution

The fourth proportional to 258,709.80, 357,019.02 and 145,532.56 is: 200,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,709.80 : 357,019.02 = 145,532.56 : x
  2. Step 2: Convert to fraction form
    258,709.80/357,019.02 = 145,532.56/x
  3. Step 3: Cross multiply
    258,709.80x = 357,019.02 × 145,532.56
  4. Step 4: Simplify right side
    258,709.80x = 51,957,891,949.29
  5. Step 5: Solve for x
    x = 51,957,891,949.29/258,709.80
  6. Step 6: Final answer
    x = 200,834.65

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1.5x scale

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.