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Finding the Fourth Proportional to 257,200.92, 354,079.62 and 221,246.64

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Solution

The fourth proportional to 257,200.92, 354,079.62 and 221,246.64 is: 304,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.92 : 354,079.62 = 221,246.64 : x
  2. Step 2: Convert to fraction form
    257,200.92/354,079.62 = 221,246.64/x
  3. Step 3: Cross multiply
    257,200.92x = 354,079.62 × 221,246.64
  4. Step 4: Simplify right side
    257,200.92x = 78,338,926,217.48
  5. Step 5: Solve for x
    x = 78,338,926,217.48/257,200.92
  6. Step 6: Final answer
    x = 304,582.60

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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.