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Finding the Fourth Proportional to 509,077.27, 763,625.63 and 154,089.91

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Solution

The fourth proportional to 509,077.27, 763,625.63 and 154,089.91 is: 231,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,077.27 : 763,625.63 = 154,089.91 : x
  2. Step 2: Convert to fraction form
    509,077.27/763,625.63 = 154,089.91/x
  3. Step 3: Cross multiply
    509,077.27x = 763,625.63 × 154,089.91
  4. Step 4: Simplify right side
    509,077.27x = 117,667,004,600.39
  5. Step 5: Solve for x
    x = 117,667,004,600.39/509,077.27
  6. Step 6: Final answer
    x = 231,137.81

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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.