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Finding the Fourth Proportional to 536,643.72, 804,993.16 and 137,287.96

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Solution

The fourth proportional to 536,643.72, 804,993.16 and 137,287.96 is: 205,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,643.72 : 804,993.16 = 137,287.96 : x
  2. Step 2: Convert to fraction form
    536,643.72/804,993.16 = 137,287.96/x
  3. Step 3: Cross multiply
    536,643.72x = 804,993.16 × 137,287.96
  4. Step 4: Simplify right side
    536,643.72x = 110,515,868,063.91
  5. Step 5: Solve for x
    x = 110,515,868,063.91/536,643.72
  6. Step 6: Final answer
    x = 205,938.99

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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.