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Finding the Fourth Proportional to 257,608, 355,499.04 and 150,182.56

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Solution

The fourth proportional to 257,608, 355,499.04 and 150,182.56 is: 207,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,608 : 355,499.04 = 150,182.56 : x
  2. Step 2: Convert to fraction form
    257,608/355,499.04 = 150,182.56/x
  3. Step 3: Cross multiply
    257,608x = 355,499.04 × 150,182.56
  4. Step 4: Simplify right side
    257,608x = 53,389,755,904.74
  5. Step 5: Solve for x
    x = 53,389,755,904.74/257,608
  6. Step 6: Final answer
    x = 207,251.93

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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.