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Finding the Fourth Proportional to 538,628.40, 806,695.20 and 268,264.08

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Solution

The fourth proportional to 538,628.40, 806,695.20 and 268,264.08 is: 401,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,628.40 : 806,695.20 = 268,264.08 : x
  2. Step 2: Convert to fraction form
    538,628.40/806,695.20 = 268,264.08/x
  3. Step 3: Cross multiply
    538,628.40x = 806,695.20 × 268,264.08
  4. Step 4: Simplify right side
    538,628.40x = 216,407,345,668.42
  5. Step 5: Solve for x
    x = 216,407,345,668.42/538,628.40
  6. Step 6: Final answer
    x = 401,774.85

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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.