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Finding the Fourth Proportional to 279,689.16, 419,899.62 and 166,044.44

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Solution

The fourth proportional to 279,689.16, 419,899.62 and 166,044.44 is: 249,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,689.16 : 419,899.62 = 166,044.44 : x
  2. Step 2: Convert to fraction form
    279,689.16/419,899.62 = 166,044.44/x
  3. Step 3: Cross multiply
    279,689.16x = 419,899.62 × 166,044.44
  4. Step 4: Simplify right side
    279,689.16x = 69,721,997,259.11
  5. Step 5: Solve for x
    x = 69,721,997,259.11/279,689.16
  6. Step 6: Final answer
    x = 249,283.87

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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.