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Finding the Fourth Proportional to 442,168.40, 610,019.16 and 272,107.28

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Solution

The fourth proportional to 442,168.40, 610,019.16 and 272,107.28 is: 375,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,168.40 : 610,019.16 = 272,107.28 : x
  2. Step 2: Convert to fraction form
    442,168.40/610,019.16 = 272,107.28/x
  3. Step 3: Cross multiply
    442,168.40x = 610,019.16 × 272,107.28
  4. Step 4: Simplify right side
    442,168.40x = 165,990,654,375.49
  5. Step 5: Solve for x
    x = 165,990,654,375.49/442,168.40
  6. Step 6: Final answer
    x = 375,401.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.