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Finding the Fourth Proportional to 542,138.70, 812,624.85 and 205,049.10

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Solution

The fourth proportional to 542,138.70, 812,624.85 and 205,049.10 is: 307,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,138.70 : 812,624.85 = 205,049.10 : x
  2. Step 2: Convert to fraction form
    542,138.70/812,624.85 = 205,049.10/x
  3. Step 3: Cross multiply
    542,138.70x = 812,624.85 × 205,049.10
  4. Step 4: Simplify right side
    542,138.70x = 166,627,994,130.14
  5. Step 5: Solve for x
    x = 166,627,994,130.14/542,138.70
  6. Step 6: Final answer
    x = 307,353.07

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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.