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Finding the Fourth Proportional to 521,862, 782,793 and 127,878

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Solution

The fourth proportional to 521,862, 782,793 and 127,878 is: 191,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,862 : 782,793 = 127,878 : x
  2. Step 2: Convert to fraction form
    521,862/782,793 = 127,878/x
  3. Step 3: Cross multiply
    521,862x = 782,793 × 127,878
  4. Step 4: Simplify right side
    521,862x = 100,102,003,254
  5. Step 5: Solve for x
    x = 100,102,003,254/521,862
  6. Step 6: Final answer
    x = 191,817

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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.