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Finding the Fourth Proportional to 509,250.51, 763,958.39 and 172,311.84

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Solution

The fourth proportional to 509,250.51, 763,958.39 and 172,311.84 is: 258,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,250.51 : 763,958.39 = 172,311.84 : x
  2. Step 2: Convert to fraction form
    509,250.51/763,958.39 = 172,311.84/x
  3. Step 3: Cross multiply
    509,250.51x = 763,958.39 × 172,311.84
  4. Step 4: Simplify right side
    509,250.51x = 131,639,075,002.78
  5. Step 5: Solve for x
    x = 131,639,075,002.78/509,250.51
  6. Step 6: Final answer
    x = 258,495.72

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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.