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Finding the Fourth Proportional to 538,270.41, 806,802.15 and 218,347.95

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Solution

The fourth proportional to 538,270.41, 806,802.15 and 218,347.95 is: 327,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,270.41 : 806,802.15 = 218,347.95 : x
  2. Step 2: Convert to fraction form
    538,270.41/806,802.15 = 218,347.95/x
  3. Step 3: Cross multiply
    538,270.41x = 806,802.15 × 218,347.95
  4. Step 4: Simplify right side
    538,270.41x = 176,163,595,508.09
  5. Step 5: Solve for x
    x = 176,163,595,508.09/538,270.41
  6. Step 6: Final answer
    x = 327,277.13

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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.