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Finding the Fourth Proportional to 381,422.63, 572,133.93 and 297,245.76

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Solution

The fourth proportional to 381,422.63, 572,133.93 and 297,245.76 is: 445,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,422.63 : 572,133.93 = 297,245.76 : x
  2. Step 2: Convert to fraction form
    381,422.63/572,133.93 = 297,245.76/x
  3. Step 3: Cross multiply
    381,422.63x = 572,133.93 × 297,245.76
  4. Step 4: Simplify right side
    381,422.63x = 170,064,384,844.64
  5. Step 5: Solve for x
    x = 170,064,384,844.64/381,422.63
  6. Step 6: Final answer
    x = 445,868.63

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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.