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Finding the Fourth Proportional to 404,522.80, 606,292.20 and 286,228.24

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Solution

The fourth proportional to 404,522.80, 606,292.20 and 286,228.24 is: 428,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,522.80 : 606,292.20 = 286,228.24 : x
  2. Step 2: Convert to fraction form
    404,522.80/606,292.20 = 286,228.24/x
  3. Step 3: Cross multiply
    404,522.80x = 606,292.20 × 286,228.24
  4. Step 4: Simplify right side
    404,522.80x = 173,537,949,331.73
  5. Step 5: Solve for x
    x = 173,537,949,331.73/404,522.80
  6. Step 6: Final answer
    x = 428,994.24

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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.