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Finding the Fourth Proportional to 345,468.66, 518,098.37 and 120,787.22

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Solution

The fourth proportional to 345,468.66, 518,098.37 and 120,787.22 is: 181,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,468.66 : 518,098.37 = 120,787.22 : x
  2. Step 2: Convert to fraction form
    345,468.66/518,098.37 = 120,787.22/x
  3. Step 3: Cross multiply
    345,468.66x = 518,098.37 × 120,787.22
  4. Step 4: Simplify right side
    345,468.66x = 62,579,658,604.40
  5. Step 5: Solve for x
    x = 62,579,658,604.40/345,468.66
  6. Step 6: Final answer
    x = 181,144.24

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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.