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Finding the Fourth Proportional to 382,524.81, 527,876.88 and 210,432.72

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Solution

The fourth proportional to 382,524.81, 527,876.88 and 210,432.72 is: 290,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,524.81 : 527,876.88 = 210,432.72 : x
  2. Step 2: Convert to fraction form
    382,524.81/527,876.88 = 210,432.72/x
  3. Step 3: Cross multiply
    382,524.81x = 527,876.88 × 210,432.72
  4. Step 4: Simplify right side
    382,524.81x = 111,082,567,683.51
  5. Step 5: Solve for x
    x = 111,082,567,683.51/382,524.81
  6. Step 6: Final answer
    x = 290,393.11

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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.