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Finding the Fourth Proportional to 257,414.30, 386,121.45 and 139,316.30

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Solution

The fourth proportional to 257,414.30, 386,121.45 and 139,316.30 is: 208,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,414.30 : 386,121.45 = 139,316.30 : x
  2. Step 2: Convert to fraction form
    257,414.30/386,121.45 = 139,316.30/x
  3. Step 3: Cross multiply
    257,414.30x = 386,121.45 × 139,316.30
  4. Step 4: Simplify right side
    257,414.30x = 53,793,011,764.64
  5. Step 5: Solve for x
    x = 53,793,011,764.64/257,414.30
  6. Step 6: Final answer
    x = 208,974.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.