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Finding the Fourth Proportional to 542,477.28, 813,604.72 and 205,401.64

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Solution

The fourth proportional to 542,477.28, 813,604.72 and 205,401.64 is: 308,060.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,477.28 : 813,604.72 = 205,401.64 : x
  2. Step 2: Convert to fraction form
    542,477.28/813,604.72 = 205,401.64/x
  3. Step 3: Cross multiply
    542,477.28x = 813,604.72 × 205,401.64
  4. Step 4: Simplify right side
    542,477.28x = 167,115,743,799.74
  5. Step 5: Solve for x
    x = 167,115,743,799.74/542,477.28
  6. Step 6: Final answer
    x = 308,060.36

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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.