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Finding the Fourth Proportional to 538,271.41, 806,803.65 and 218,348.95

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Solution

The fourth proportional to 538,271.41, 806,803.65 and 218,348.95 is: 327,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,271.41 : 806,803.65 = 218,348.95 : x
  2. Step 2: Convert to fraction form
    538,271.41/806,803.65 = 218,348.95/x
  3. Step 3: Cross multiply
    538,271.41x = 806,803.65 × 218,348.95
  4. Step 4: Simplify right side
    538,271.41x = 176,164,729,833.67
  5. Step 5: Solve for x
    x = 176,164,729,833.67/538,271.41
  6. Step 6: Final answer
    x = 327,278.63

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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.