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Finding the Fourth Proportional to 257,514.30, 386,271.45 and 218,634.30

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Solution

The fourth proportional to 257,514.30, 386,271.45 and 218,634.30 is: 327,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,514.30 : 386,271.45 = 218,634.30 : x
  2. Step 2: Convert to fraction form
    257,514.30/386,271.45 = 218,634.30/x
  3. Step 3: Cross multiply
    257,514.30x = 386,271.45 × 218,634.30
  4. Step 4: Simplify right side
    257,514.30x = 84,452,188,080.74
  5. Step 5: Solve for x
    x = 84,452,188,080.74/257,514.30
  6. Step 6: Final answer
    x = 327,951.45

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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.