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Finding the Fourth Proportional to 536,639.76, 804,987.20 and 137,284

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Solution

The fourth proportional to 536,639.76, 804,987.20 and 137,284 is: 205,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,639.76 : 804,987.20 = 137,284 : x
  2. Step 2: Convert to fraction form
    536,639.76/804,987.20 = 137,284/x
  3. Step 3: Cross multiply
    536,639.76x = 804,987.20 × 137,284
  4. Step 4: Simplify right side
    536,639.76x = 110,511,862,764.80
  5. Step 5: Solve for x
    x = 110,511,862,764.80/536,639.76
  6. Step 6: Final answer
    x = 205,933.05

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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.