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Finding the Fourth Proportional to 257,618.26, 355,440.52 and 166,978.05

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Solution

The fourth proportional to 257,618.26, 355,440.52 and 166,978.05 is: 230,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,618.26 : 355,440.52 = 166,978.05 : x
  2. Step 2: Convert to fraction form
    257,618.26/355,440.52 = 166,978.05/x
  3. Step 3: Cross multiply
    257,618.26x = 355,440.52 × 166,978.05
  4. Step 4: Simplify right side
    257,618.26x = 59,350,764,920.59
  5. Step 5: Solve for x
    x = 59,350,764,920.59/257,618.26
  6. Step 6: Final answer
    x = 230,382.60

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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.