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Finding the Fourth Proportional to 413,859.31, 620,657.73 and 177,138.43

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Solution

The fourth proportional to 413,859.31, 620,657.73 and 177,138.43 is: 265,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,859.31 : 620,657.73 = 177,138.43 : x
  2. Step 2: Convert to fraction form
    413,859.31/620,657.73 = 177,138.43/x
  3. Step 3: Cross multiply
    413,859.31x = 620,657.73 × 177,138.43
  4. Step 4: Simplify right side
    413,859.31x = 109,942,334,307.92
  5. Step 5: Solve for x
    x = 109,942,334,307.92/413,859.31
  6. Step 6: Final answer
    x = 265,651.47

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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.