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Finding the Fourth Proportional to 257,796.73, 355,802.27 and 150,366.78

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Solution

The fourth proportional to 257,796.73, 355,802.27 and 150,366.78 is: 207,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.73 : 355,802.27 = 150,366.78 : x
  2. Step 2: Convert to fraction form
    257,796.73/355,802.27 = 150,366.78/x
  3. Step 3: Cross multiply
    257,796.73x = 355,802.27 × 150,366.78
  4. Step 4: Simplify right side
    257,796.73x = 53,500,841,750.57
  5. Step 5: Solve for x
    x = 53,500,841,750.57/257,796.73
  6. Step 6: Final answer
    x = 207,531.11

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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.