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Finding the Fourth Proportional to 404,429.40, 606,644.10 and 398,208.60

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Solution

The fourth proportional to 404,429.40, 606,644.10 and 398,208.60 is: 597,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,429.40 : 606,644.10 = 398,208.60 : x
  2. Step 2: Convert to fraction form
    404,429.40/606,644.10 = 398,208.60/x
  3. Step 3: Cross multiply
    404,429.40x = 606,644.10 × 398,208.60
  4. Step 4: Simplify right side
    404,429.40x = 241,570,897,759.26
  5. Step 5: Solve for x
    x = 241,570,897,759.26/404,429.40
  6. Step 6: Final answer
    x = 597,312.90

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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.