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Finding the Fourth Proportional to 345,409.80, 518,184.57 and 145,730.64

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Solution

The fourth proportional to 345,409.80, 518,184.57 and 145,730.64 is: 218,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,409.80 : 518,184.57 = 145,730.64 : x
  2. Step 2: Convert to fraction form
    345,409.80/518,184.57 = 145,730.64/x
  3. Step 3: Cross multiply
    345,409.80x = 518,184.57 × 145,730.64
  4. Step 4: Simplify right side
    345,409.80x = 75,515,369,024.22
  5. Step 5: Solve for x
    x = 75,515,369,024.22/345,409.80
  6. Step 6: Final answer
    x = 218,625.44

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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.