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Finding the Fourth Proportional to 345,410.57, 518,233.53 and 210,744.25

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Solution

The fourth proportional to 345,410.57, 518,233.53 and 210,744.25 is: 316,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,410.57 : 518,233.53 = 210,744.25 : x
  2. Step 2: Convert to fraction form
    345,410.57/518,233.53 = 210,744.25/x
  3. Step 3: Cross multiply
    345,410.57x = 518,233.53 × 210,744.25
  4. Step 4: Simplify right side
    345,410.57x = 109,214,736,604.70
  5. Step 5: Solve for x
    x = 109,214,736,604.70/345,410.57
  6. Step 6: Final answer
    x = 316,188.17

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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.