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Finding the Fourth Proportional to 382,412.67, 527,742.27 and 210,337.89

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Solution

The fourth proportional to 382,412.67, 527,742.27 and 210,337.89 is: 290,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.67 : 527,742.27 = 210,337.89 : x
  2. Step 2: Convert to fraction form
    382,412.67/527,742.27 = 210,337.89/x
  3. Step 3: Cross multiply
    382,412.67x = 527,742.27 × 210,337.89
  4. Step 4: Simplify right side
    382,412.67x = 111,004,195,535.61
  5. Step 5: Solve for x
    x = 111,004,195,535.61/382,412.67
  6. Step 6: Final answer
    x = 290,273.32

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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.