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Finding the Fourth Proportional to 413,622.25, 620,958.35 and 351,686.41

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Solution

The fourth proportional to 413,622.25, 620,958.35 and 351,686.41 is: 527,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.25 : 620,958.35 = 351,686.41 : x
  2. Step 2: Convert to fraction form
    413,622.25/620,958.35 = 351,686.41/x
  3. Step 3: Cross multiply
    413,622.25x = 620,958.35 × 351,686.41
  4. Step 4: Simplify right side
    413,622.25x = 218,382,612,197.84
  5. Step 5: Solve for x
    x = 218,382,612,197.84/413,622.25
  6. Step 6: Final answer
    x = 527,975.98

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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.