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Finding the Fourth Proportional to 345,937.60, 518,906.40 and 212,384.80

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Solution

The fourth proportional to 345,937.60, 518,906.40 and 212,384.80 is: 318,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,937.60 : 518,906.40 = 212,384.80 : x
  2. Step 2: Convert to fraction form
    345,937.60/518,906.40 = 212,384.80/x
  3. Step 3: Cross multiply
    345,937.60x = 518,906.40 × 212,384.80
  4. Step 4: Simplify right side
    345,937.60x = 110,207,831,982.72
  5. Step 5: Solve for x
    x = 110,207,831,982.72/345,937.60
  6. Step 6: Final answer
    x = 318,577.20

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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.