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Finding the Fourth Proportional to 257,799.72, 355,806.42 and 150,369.78

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Solution

The fourth proportional to 257,799.72, 355,806.42 and 150,369.78 is: 207,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,799.72 : 355,806.42 = 150,369.78 : x
  2. Step 2: Convert to fraction form
    257,799.72/355,806.42 = 150,369.78/x
  3. Step 3: Cross multiply
    257,799.72x = 355,806.42 × 150,369.78
  4. Step 4: Simplify right side
    257,799.72x = 53,502,533,097.99
  5. Step 5: Solve for x
    x = 53,502,533,097.99/257,799.72
  6. Step 6: Final answer
    x = 207,535.26

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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.