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Finding the Fourth Proportional to 320,463.51, 480,694.65 and 120,828.69

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Solution

The fourth proportional to 320,463.51, 480,694.65 and 120,828.69 is: 181,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,463.51 : 480,694.65 = 120,828.69 : x
  2. Step 2: Convert to fraction form
    320,463.51/480,694.65 = 120,828.69/x
  3. Step 3: Cross multiply
    320,463.51x = 480,694.65 × 120,828.69
  4. Step 4: Simplify right side
    320,463.51x = 58,081,704,849.51
  5. Step 5: Solve for x
    x = 58,081,704,849.51/320,463.51
  6. Step 6: Final answer
    x = 181,242.80

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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.