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Finding the Fourth Proportional to 404,382.40, 606,703.20 and 271,412.80

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Solution

The fourth proportional to 404,382.40, 606,703.20 and 271,412.80 is: 407,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,382.40 : 606,703.20 = 271,412.80 : x
  2. Step 2: Convert to fraction form
    404,382.40/606,703.20 = 271,412.80/x
  3. Step 3: Cross multiply
    404,382.40x = 606,703.20 × 271,412.80
  4. Step 4: Simplify right side
    404,382.40x = 164,667,014,280.96
  5. Step 5: Solve for x
    x = 164,667,014,280.96/404,382.40
  6. Step 6: Final answer
    x = 407,206.18

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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.