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Finding the Fourth Proportional to 538,257.09, 807,381.59 and 138,863.91

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Solution

The fourth proportional to 538,257.09, 807,381.59 and 138,863.91 is: 208,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,257.09 : 807,381.59 = 138,863.91 : x
  2. Step 2: Convert to fraction form
    538,257.09/807,381.59 = 138,863.91/x
  3. Step 3: Cross multiply
    538,257.09x = 807,381.59 × 138,863.91
  4. Step 4: Simplify right side
    538,257.09x = 112,116,163,755.10
  5. Step 5: Solve for x
    x = 112,116,163,755.10/538,257.09
  6. Step 6: Final answer
    x = 208,294.82

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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.