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Finding the Fourth Proportional to 407,138.56, 610,749.80 and 140,898.64

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Solution

The fourth proportional to 407,138.56, 610,749.80 and 140,898.64 is: 211,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.56 : 610,749.80 = 140,898.64 : x
  2. Step 2: Convert to fraction form
    407,138.56/610,749.80 = 140,898.64/x
  3. Step 3: Cross multiply
    407,138.56x = 610,749.80 × 140,898.64
  4. Step 4: Simplify right side
    407,138.56x = 86,053,816,200.27
  5. Step 5: Solve for x
    x = 86,053,816,200.27/407,138.56
  6. Step 6: Final answer
    x = 211,362.48

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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.