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Finding the Fourth Proportional to 382,840, 574,264.86 and 133,522

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Solution

The fourth proportional to 382,840, 574,264.86 and 133,522 is: 200,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,840 : 574,264.86 = 133,522 : x
  2. Step 2: Convert to fraction form
    382,840/574,264.86 = 133,522/x
  3. Step 3: Cross multiply
    382,840x = 574,264.86 × 133,522
  4. Step 4: Simplify right side
    382,840x = 76,676,992,636.92
  5. Step 5: Solve for x
    x = 76,676,992,636.92/382,840
  6. Step 6: Final answer
    x = 200,284.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.