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Finding the Fourth Proportional to 257,206.80, 354,862.98 and 166,632.60

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Solution

The fourth proportional to 257,206.80, 354,862.98 and 166,632.60 is: 229,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,206.80 : 354,862.98 = 166,632.60 : x
  2. Step 2: Convert to fraction form
    257,206.80/354,862.98 = 166,632.60/x
  3. Step 3: Cross multiply
    257,206.80x = 354,862.98 × 166,632.60
  4. Step 4: Simplify right side
    257,206.80x = 59,131,741,001.15
  5. Step 5: Solve for x
    x = 59,131,741,001.15/257,206.80
  6. Step 6: Final answer
    x = 229,899.60

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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.