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Finding the Fourth Proportional to 404,421.20, 607,020.60 and 204,966.80

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Solution

The fourth proportional to 404,421.20, 607,020.60 and 204,966.80 is: 307,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,421.20 : 607,020.60 = 204,966.80 : x
  2. Step 2: Convert to fraction form
    404,421.20/607,020.60 = 204,966.80/x
  3. Step 3: Cross multiply
    404,421.20x = 607,020.60 × 204,966.80
  4. Step 4: Simplify right side
    404,421.20x = 124,419,069,916.08
  5. Step 5: Solve for x
    x = 124,419,069,916.08/404,421.20
  6. Step 6: Final answer
    x = 307,647.25

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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.