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Finding the Fourth Proportional to 537,997.20, 805,246.20 and 419,024.40

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Solution

The fourth proportional to 537,997.20, 805,246.20 and 419,024.40 is: 627,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,997.20 : 805,246.20 = 419,024.40 : x
  2. Step 2: Convert to fraction form
    537,997.20/805,246.20 = 419,024.40/x
  3. Step 3: Cross multiply
    537,997.20x = 805,246.20 × 419,024.40
  4. Step 4: Simplify right side
    537,997.20x = 337,417,805,807.28
  5. Step 5: Solve for x
    x = 337,417,805,807.28/537,997.20
  6. Step 6: Final answer
    x = 627,173.91

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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.