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Finding the Fourth Proportional to 382,486.66, 527,810.82 and 210,376.85

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Solution

The fourth proportional to 382,486.66, 527,810.82 and 210,376.85 is: 290,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,486.66 : 527,810.82 = 210,376.85 : x
  2. Step 2: Convert to fraction form
    382,486.66/527,810.82 = 210,376.85/x
  3. Step 3: Cross multiply
    382,486.66x = 527,810.82 × 210,376.85
  4. Step 4: Simplify right side
    382,486.66x = 111,039,174,279.55
  5. Step 5: Solve for x
    x = 111,039,174,279.55/382,486.66
  6. Step 6: Final answer
    x = 290,308.62

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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.