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Finding the Fourth Proportional to 231,473.64, 346,644.26 and 209,035

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Solution

The fourth proportional to 231,473.64, 346,644.26 and 209,035 is: 313,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,473.64 : 346,644.26 = 209,035 : x
  2. Step 2: Convert to fraction form
    231,473.64/346,644.26 = 209,035/x
  3. Step 3: Cross multiply
    231,473.64x = 346,644.26 × 209,035
  4. Step 4: Simplify right side
    231,473.64x = 72,460,782,889.10
  5. Step 5: Solve for x
    x = 72,460,782,889.10/231,473.64
  6. Step 6: Final answer
    x = 313,041.19

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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.