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Finding the Fourth Proportional to 523,560.78, 722,471.40 and 294,105.60

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Solution

The fourth proportional to 523,560.78, 722,471.40 and 294,105.60 is: 405,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,560.78 : 722,471.40 = 294,105.60 : x
  2. Step 2: Convert to fraction form
    523,560.78/722,471.40 = 294,105.60/x
  3. Step 3: Cross multiply
    523,560.78x = 722,471.40 × 294,105.60
  4. Step 4: Simplify right side
    523,560.78x = 212,482,884,579.84
  5. Step 5: Solve for x
    x = 212,482,884,579.84/523,560.78
  6. Step 6: Final answer
    x = 405,841.87

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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.