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Finding the Fourth Proportional to 521,872.04, 783,158.52 and 189,448.04

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Solution

The fourth proportional to 521,872.04, 783,158.52 and 189,448.04 is: 284,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,872.04 : 783,158.52 = 189,448.04 : x
  2. Step 2: Convert to fraction form
    521,872.04/783,158.52 = 189,448.04/x
  3. Step 3: Cross multiply
    521,872.04x = 783,158.52 × 189,448.04
  4. Step 4: Simplify right side
    521,872.04x = 148,367,846,623.30
  5. Step 5: Solve for x
    x = 148,367,846,623.30/521,872.04
  6. Step 6: Final answer
    x = 284,299.28

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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.