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Finding the Fourth Proportional to 339,614.40, 509,421.60 and 308,121.60

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Solution

The fourth proportional to 339,614.40, 509,421.60 and 308,121.60 is: 462,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,614.40 : 509,421.60 = 308,121.60 : x
  2. Step 2: Convert to fraction form
    339,614.40/509,421.60 = 308,121.60/x
  3. Step 3: Cross multiply
    339,614.40x = 509,421.60 × 308,121.60
  4. Step 4: Simplify right side
    339,614.40x = 156,963,798,466.56
  5. Step 5: Solve for x
    x = 156,963,798,466.56/339,614.40
  6. Step 6: Final answer
    x = 462,182.40

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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.