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Finding the Fourth Proportional to 612,414.66, 918,720.54 and 213,168.90

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Solution

The fourth proportional to 612,414.66, 918,720.54 and 213,168.90 is: 319,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,414.66 : 918,720.54 = 213,168.90 : x
  2. Step 2: Convert to fraction form
    612,414.66/918,720.54 = 213,168.90/x
  3. Step 3: Cross multiply
    612,414.66x = 918,720.54 × 213,168.90
  4. Step 4: Simplify right side
    612,414.66x = 195,842,646,919.21
  5. Step 5: Solve for x
    x = 195,842,646,919.21/612,414.66
  6. Step 6: Final answer
    x = 319,787.65

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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.