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Finding the Fourth Proportional to 280,333.11, 420,204.36 and 139,796.49

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Solution

The fourth proportional to 280,333.11, 420,204.36 and 139,796.49 is: 209,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,333.11 : 420,204.36 = 139,796.49 : x
  2. Step 2: Convert to fraction form
    280,333.11/420,204.36 = 139,796.49/x
  3. Step 3: Cross multiply
    280,333.11x = 420,204.36 × 139,796.49
  4. Step 4: Simplify right side
    280,333.11x = 58,743,093,559.17
  5. Step 5: Solve for x
    x = 58,743,093,559.17/280,333.11
  6. Step 6: Final answer
    x = 209,547.47

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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.