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Finding the Fourth Proportional to 378,252.83, 521,820.55 and 217,069.31

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Solution

The fourth proportional to 378,252.83, 521,820.55 and 217,069.31 is: 299,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,252.83 : 521,820.55 = 217,069.31 : x
  2. Step 2: Convert to fraction form
    378,252.83/521,820.55 = 217,069.31/x
  3. Step 3: Cross multiply
    378,252.83x = 521,820.55 × 217,069.31
  4. Step 4: Simplify right side
    378,252.83x = 113,271,226,732.32
  5. Step 5: Solve for x
    x = 113,271,226,732.32/378,252.83
  6. Step 6: Final answer
    x = 299,459.03

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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.