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Finding the Fourth Proportional to 382,494.83, 527,839.94 and 210,409.08

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Solution

The fourth proportional to 382,494.83, 527,839.94 and 210,409.08 is: 290,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,494.83 : 527,839.94 = 210,409.08 : x
  2. Step 2: Convert to fraction form
    382,494.83/527,839.94 = 210,409.08/x
  3. Step 3: Cross multiply
    382,494.83x = 527,839.94 × 210,409.08
  4. Step 4: Simplify right side
    382,494.83x = 111,062,315,110.61
  5. Step 5: Solve for x
    x = 111,062,315,110.61/382,494.83
  6. Step 6: Final answer
    x = 290,362.92

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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.