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Finding the Fourth Proportional to 537,261.80, 806,475.90 and 419,455.40

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Solution

The fourth proportional to 537,261.80, 806,475.90 and 419,455.40 is: 629,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,261.80 : 806,475.90 = 419,455.40 : x
  2. Step 2: Convert to fraction form
    537,261.80/806,475.90 = 419,455.40/x
  3. Step 3: Cross multiply
    537,261.80x = 806,475.90 × 419,455.40
  4. Step 4: Simplify right side
    537,261.80x = 338,280,671,224.86
  5. Step 5: Solve for x
    x = 338,280,671,224.86/537,261.80
  6. Step 6: Final answer
    x = 629,638.42

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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.