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Finding the Fourth Proportional to 523,795.64, 722,838.06 and 285,331.64

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Solution

The fourth proportional to 523,795.64, 722,838.06 and 285,331.64 is: 393,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,795.64 : 722,838.06 = 285,331.64 : x
  2. Step 2: Convert to fraction form
    523,795.64/722,838.06 = 285,331.64/x
  3. Step 3: Cross multiply
    523,795.64x = 722,838.06 × 285,331.64
  4. Step 4: Simplify right side
    523,795.64x = 206,248,569,114.22
  5. Step 5: Solve for x
    x = 206,248,569,114.22/523,795.64
  6. Step 6: Final answer
    x = 393,757.71

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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.