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Finding the Fourth Proportional to 328,740.80, 493,111.20 and 269,643.20

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Solution

The fourth proportional to 328,740.80, 493,111.20 and 269,643.20 is: 404,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,740.80 : 493,111.20 = 269,643.20 : x
  2. Step 2: Convert to fraction form
    328,740.80/493,111.20 = 269,643.20/x
  3. Step 3: Cross multiply
    328,740.80x = 493,111.20 × 269,643.20
  4. Step 4: Simplify right side
    328,740.80x = 132,964,081,923.84
  5. Step 5: Solve for x
    x = 132,964,081,923.84/328,740.80
  6. Step 6: Final answer
    x = 404,464.80

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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.