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Finding the Fourth Proportional to 257,191.77, 355,097.95 and 160,542.78

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Solution

The fourth proportional to 257,191.77, 355,097.95 and 160,542.78 is: 221,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.77 : 355,097.95 = 160,542.78 : x
  2. Step 2: Convert to fraction form
    257,191.77/355,097.95 = 160,542.78/x
  3. Step 3: Cross multiply
    257,191.77x = 355,097.95 × 160,542.78
  4. Step 4: Simplify right side
    257,191.77x = 57,008,410,332.33
  5. Step 5: Solve for x
    x = 57,008,410,332.33/257,191.77
  6. Step 6: Final answer
    x = 221,657.21

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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.