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Finding the Fourth Proportional to 339,437.40, 509,156.10 and 197,136.60

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Solution

The fourth proportional to 339,437.40, 509,156.10 and 197,136.60 is: 295,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,437.40 : 509,156.10 = 197,136.60 : x
  2. Step 2: Convert to fraction form
    339,437.40/509,156.10 = 197,136.60/x
  3. Step 3: Cross multiply
    339,437.40x = 509,156.10 × 197,136.60
  4. Step 4: Simplify right side
    339,437.40x = 100,373,302,423.26
  5. Step 5: Solve for x
    x = 100,373,302,423.26/339,437.40
  6. Step 6: Final answer
    x = 295,704.90

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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.