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Finding the Fourth Proportional to 279,916.40, 420,020.40 and 122,160.80

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Solution

The fourth proportional to 279,916.40, 420,020.40 and 122,160.80 is: 183,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,916.40 : 420,020.40 = 122,160.80 : x
  2. Step 2: Convert to fraction form
    279,916.40/420,020.40 = 122,160.80/x
  3. Step 3: Cross multiply
    279,916.40x = 420,020.40 × 122,160.80
  4. Step 4: Simplify right side
    279,916.40x = 51,310,028,080.32
  5. Step 5: Solve for x
    x = 51,310,028,080.32/279,916.40
  6. Step 6: Final answer
    x = 183,304.83

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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.