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Finding the Fourth Proportional to 509,654.90, 765,072.92 and 273,458.90

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Solution

The fourth proportional to 509,654.90, 765,072.92 and 273,458.90 is: 410,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,654.90 : 765,072.92 = 273,458.90 : x
  2. Step 2: Convert to fraction form
    509,654.90/765,072.92 = 273,458.90/x
  3. Step 3: Cross multiply
    509,654.90x = 765,072.92 × 273,458.90
  4. Step 4: Simplify right side
    509,654.90x = 209,215,999,122.99
  5. Step 5: Solve for x
    x = 209,215,999,122.99/509,654.90
  6. Step 6: Final answer
    x = 410,505.22

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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.