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Finding the Fourth Proportional to 279,916.10, 420,311.55 and 161,818.10

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Solution

The fourth proportional to 279,916.10, 420,311.55 and 161,818.10 is: 242,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,916.10 : 420,311.55 = 161,818.10 : x
  2. Step 2: Convert to fraction form
    279,916.10/420,311.55 = 161,818.10/x
  3. Step 3: Cross multiply
    279,916.10x = 420,311.55 × 161,818.10
  4. Step 4: Simplify right side
    279,916.10x = 68,014,016,429.06
  5. Step 5: Solve for x
    x = 68,014,016,429.06/279,916.10
  6. Step 6: Final answer
    x = 242,980.01

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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.