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Finding the Fourth Proportional to 313,824.58, 470,732.77 and 77,169.31

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Solution

The fourth proportional to 313,824.58, 470,732.77 and 77,169.31 is: 115,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,824.58 : 470,732.77 = 77,169.31 : x
  2. Step 2: Convert to fraction form
    313,824.58/470,732.77 = 77,169.31/x
  3. Step 3: Cross multiply
    313,824.58x = 470,732.77 × 77,169.31
  4. Step 4: Simplify right side
    313,824.58x = 36,326,123,055.29
  5. Step 5: Solve for x
    x = 36,326,123,055.29/313,824.58
  6. Step 6: Final answer
    x = 115,752.96

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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.