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Finding the Fourth Proportional to 509,003.01, 763,378.43 and 172,036.22

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Solution

The fourth proportional to 509,003.01, 763,378.43 and 172,036.22 is: 258,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,003.01 : 763,378.43 = 172,036.22 : x
  2. Step 2: Convert to fraction form
    509,003.01/763,378.43 = 172,036.22/x
  3. Step 3: Cross multiply
    509,003.01x = 763,378.43 × 172,036.22
  4. Step 4: Simplify right side
    509,003.01x = 131,328,734,849.66
  5. Step 5: Solve for x
    x = 131,328,734,849.66/509,003.01
  6. Step 6: Final answer
    x = 258,011.71

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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.