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Finding the Fourth Proportional to 382,306, 527,595.82 and 210,237.08

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Solution

The fourth proportional to 382,306, 527,595.82 and 210,237.08 is: 290,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,306 : 527,595.82 = 210,237.08 : x
  2. Step 2: Convert to fraction form
    382,306/527,595.82 = 210,237.08/x
  3. Step 3: Cross multiply
    382,306x = 527,595.82 × 210,237.08
  4. Step 4: Simplify right side
    382,306x = 110,920,204,617.01
  5. Step 5: Solve for x
    x = 110,920,204,617.01/382,306
  6. Step 6: Final answer
    x = 290,134.62

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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.