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Finding the Fourth Proportional to 407,585.85, 610,825.82 and 230,005.05

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Solution

The fourth proportional to 407,585.85, 610,825.82 and 230,005.05 is: 344,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,585.85 : 610,825.82 = 230,005.05 : x
  2. Step 2: Convert to fraction form
    407,585.85/610,825.82 = 230,005.05/x
  3. Step 3: Cross multiply
    407,585.85x = 610,825.82 × 230,005.05
  4. Step 4: Simplify right side
    407,585.85x = 140,493,022,120.37
  5. Step 5: Solve for x
    x = 140,493,022,120.37/407,585.85
  6. Step 6: Final answer
    x = 344,695.53

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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.