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Finding the Fourth Proportional to 523,624.50, 722,601.81 and 285,160.50

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Solution

The fourth proportional to 523,624.50, 722,601.81 and 285,160.50 is: 393,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,624.50 : 722,601.81 = 285,160.50 : x
  2. Step 2: Convert to fraction form
    523,624.50/722,601.81 = 285,160.50/x
  3. Step 3: Cross multiply
    523,624.50x = 722,601.81 × 285,160.50
  4. Step 4: Simplify right side
    523,624.50x = 206,057,493,440.51
  5. Step 5: Solve for x
    x = 206,057,493,440.51/523,624.50
  6. Step 6: Final answer
    x = 393,521.49

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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.