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Finding the Fourth Proportional to 339,912.10, 509,868.15 and 318,916.90

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Solution

The fourth proportional to 339,912.10, 509,868.15 and 318,916.90 is: 478,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,912.10 : 509,868.15 = 318,916.90 : x
  2. Step 2: Convert to fraction form
    339,912.10/509,868.15 = 318,916.90/x
  3. Step 3: Cross multiply
    339,912.10x = 509,868.15 × 318,916.90
  4. Step 4: Simplify right side
    339,912.10x = 162,605,569,806.74
  5. Step 5: Solve for x
    x = 162,605,569,806.74/339,912.10
  6. Step 6: Final answer
    x = 478,375.35

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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.