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Finding the Fourth Proportional to 537,292.80, 806,522.40 and 419,486.40

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Solution

The fourth proportional to 537,292.80, 806,522.40 and 419,486.40 is: 629,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,292.80 : 806,522.40 = 419,486.40 : x
  2. Step 2: Convert to fraction form
    537,292.80/806,522.40 = 419,486.40/x
  3. Step 3: Cross multiply
    537,292.80x = 806,522.40 × 419,486.40
  4. Step 4: Simplify right side
    537,292.80x = 338,325,178,095.36
  5. Step 5: Solve for x
    x = 338,325,178,095.36/537,292.80
  6. Step 6: Final answer
    x = 629,684.93

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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.