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Finding the Fourth Proportional to 279,098.36, 385,165.89 and 159,889.40

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Solution

The fourth proportional to 279,098.36, 385,165.89 and 159,889.40 is: 220,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,098.36 : 385,165.89 = 159,889.40 : x
  2. Step 2: Convert to fraction form
    279,098.36/385,165.89 = 159,889.40/x
  3. Step 3: Cross multiply
    279,098.36x = 385,165.89 × 159,889.40
  4. Step 4: Simplify right side
    279,098.36x = 61,583,941,126.74
  5. Step 5: Solve for x
    x = 61,583,941,126.74/279,098.36
  6. Step 6: Final answer
    x = 220,653.19

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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.