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Finding the Fourth Proportional to 339,385.20, 509,077.80 and 308,281.20

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Solution

The fourth proportional to 339,385.20, 509,077.80 and 308,281.20 is: 462,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,385.20 : 509,077.80 = 308,281.20 : x
  2. Step 2: Convert to fraction form
    339,385.20/509,077.80 = 308,281.20/x
  3. Step 3: Cross multiply
    339,385.20x = 509,077.80 × 308,281.20
  4. Step 4: Simplify right side
    339,385.20x = 156,939,115,077.36
  5. Step 5: Solve for x
    x = 156,939,115,077.36/339,385.20
  6. Step 6: Final answer
    x = 462,421.80

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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.