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Finding the Fourth Proportional to 509,905.80, 765,296.10 and 226,033.20

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Solution

The fourth proportional to 509,905.80, 765,296.10 and 226,033.20 is: 339,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,905.80 : 765,296.10 = 226,033.20 : x
  2. Step 2: Convert to fraction form
    509,905.80/765,296.10 = 226,033.20/x
  3. Step 3: Cross multiply
    509,905.80x = 765,296.10 × 226,033.20
  4. Step 4: Simplify right side
    509,905.80x = 172,982,326,430.52
  5. Step 5: Solve for x
    x = 172,982,326,430.52/509,905.80
  6. Step 6: Final answer
    x = 339,243.69

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1.5x scale

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.