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Finding the Fourth Proportional to 339,873.42, 509,780.64 and 159,916.11

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Solution

The fourth proportional to 339,873.42, 509,780.64 and 159,916.11 is: 239,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,873.42 : 509,780.64 = 159,916.11 : x
  2. Step 2: Convert to fraction form
    339,873.42/509,780.64 = 159,916.11/x
  3. Step 3: Cross multiply
    339,873.42x = 509,780.64 × 159,916.11
  4. Step 4: Simplify right side
    339,873.42x = 81,522,136,902.11
  5. Step 5: Solve for x
    x = 81,522,136,902.11/339,873.42
  6. Step 6: Final answer
    x = 239,860.29

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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.