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Finding the Fourth Proportional to 404,316.80, 605,438.40 and 298,563.20

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Solution

The fourth proportional to 404,316.80, 605,438.40 and 298,563.20 is: 447,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,316.80 : 605,438.40 = 298,563.20 : x
  2. Step 2: Convert to fraction form
    404,316.80/605,438.40 = 298,563.20/x
  3. Step 3: Cross multiply
    404,316.80x = 605,438.40 × 298,563.20
  4. Step 4: Simplify right side
    404,316.80x = 180,761,626,106.88
  5. Step 5: Solve for x
    x = 180,761,626,106.88/404,316.80
  6. Step 6: Final answer
    x = 447,079.19

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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.