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Finding the Fourth Proportional to 382,300.29, 527,587.97 and 210,231.45

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Solution

The fourth proportional to 382,300.29, 527,587.97 and 210,231.45 is: 290,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,300.29 : 527,587.97 = 210,231.45 : x
  2. Step 2: Convert to fraction form
    382,300.29/527,587.97 = 210,231.45/x
  3. Step 3: Cross multiply
    382,300.29x = 527,587.97 × 210,231.45
  4. Step 4: Simplify right side
    382,300.29x = 110,915,583,935.66
  5. Step 5: Solve for x
    x = 110,915,583,935.66/382,300.29
  6. Step 6: Final answer
    x = 290,126.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.