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Finding the Fourth Proportional to 517,886.22, 776,773.98 and 138,844.98

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Solution

The fourth proportional to 517,886.22, 776,773.98 and 138,844.98 is: 208,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,886.22 : 776,773.98 = 138,844.98 : x
  2. Step 2: Convert to fraction form
    517,886.22/776,773.98 = 138,844.98/x
  3. Step 3: Cross multiply
    517,886.22x = 776,773.98 × 138,844.98
  4. Step 4: Simplify right side
    517,886.22x = 107,851,167,717.62
  5. Step 5: Solve for x
    x = 107,851,167,717.62/517,886.22
  6. Step 6: Final answer
    x = 208,252.63

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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.