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Finding the Fourth Proportional to 407,138.06, 610,749.05 and 140,898.14

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Solution

The fourth proportional to 407,138.06, 610,749.05 and 140,898.14 is: 211,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.06 : 610,749.05 = 140,898.14 : x
  2. Step 2: Convert to fraction form
    407,138.06/610,749.05 = 140,898.14/x
  3. Step 3: Cross multiply
    407,138.06x = 610,749.05 × 140,898.14
  4. Step 4: Simplify right side
    407,138.06x = 86,053,405,151.77
  5. Step 5: Solve for x
    x = 86,053,405,151.77/407,138.06
  6. Step 6: Final answer
    x = 211,361.73

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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.