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Finding the Fourth Proportional to 348,322.20, 521,792.10 and 200,405.40

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Solution

The fourth proportional to 348,322.20, 521,792.10 and 200,405.40 is: 300,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,322.20 : 521,792.10 = 200,405.40 : x
  2. Step 2: Convert to fraction form
    348,322.20/521,792.10 = 200,405.40/x
  3. Step 3: Cross multiply
    348,322.20x = 521,792.10 × 200,405.40
  4. Step 4: Simplify right side
    348,322.20x = 104,569,954,517.34
  5. Step 5: Solve for x
    x = 104,569,954,517.34/348,322.20
  6. Step 6: Final answer
    x = 300,210.42

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Why These Related Problems?

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