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Finding the Fourth Proportional to 381,716.10, 572,574.15 and 293,415.30

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Solution

The fourth proportional to 381,716.10, 572,574.15 and 293,415.30 is: 440,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,716.10 : 572,574.15 = 293,415.30 : x
  2. Step 2: Convert to fraction form
    381,716.10/572,574.15 = 293,415.30/x
  3. Step 3: Cross multiply
    381,716.10x = 572,574.15 × 293,415.30
  4. Step 4: Simplify right side
    381,716.10x = 168,002,015,994.50
  5. Step 5: Solve for x
    x = 168,002,015,994.50/381,716.10
  6. Step 6: Final answer
    x = 440,122.95

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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.