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Finding the Fourth Proportional to 523,770.45, 722,169.09 and 407,517.72

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Solution

The fourth proportional to 523,770.45, 722,169.09 and 407,517.72 is: 561,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,770.45 : 722,169.09 = 407,517.72 : x
  2. Step 2: Convert to fraction form
    523,770.45/722,169.09 = 407,517.72/x
  3. Step 3: Cross multiply
    523,770.45x = 722,169.09 × 407,517.72
  4. Step 4: Simplify right side
    523,770.45x = 294,296,701,011.28
  5. Step 5: Solve for x
    x = 294,296,701,011.28/523,770.45
  6. Step 6: Final answer
    x = 561,881.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.