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Finding the Fourth Proportional to 382,551.06, 527,919.06 and 212,785.20

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Solution

The fourth proportional to 382,551.06, 527,919.06 and 212,785.20 is: 293,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,551.06 : 527,919.06 = 212,785.20 : x
  2. Step 2: Convert to fraction form
    382,551.06/527,919.06 = 212,785.20/x
  3. Step 3: Cross multiply
    382,551.06x = 527,919.06 × 212,785.20
  4. Step 4: Simplify right side
    382,551.06x = 112,333,362,765.91
  5. Step 5: Solve for x
    x = 112,333,362,765.91/382,551.06
  6. Step 6: Final answer
    x = 293,642.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.