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Finding the Fourth Proportional to 420,521, 631,043.94 and 171,203

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Solution

The fourth proportional to 420,521, 631,043.94 and 171,203 is: 256,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,521 : 631,043.94 = 171,203 : x
  2. Step 2: Convert to fraction form
    420,521/631,043.94 = 171,203/x
  3. Step 3: Cross multiply
    420,521x = 631,043.94 × 171,203
  4. Step 4: Simplify right side
    420,521x = 108,036,615,659.82
  5. Step 5: Solve for x
    x = 108,036,615,659.82/420,521
  6. Step 6: Final answer
    x = 256,911.34

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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.