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Finding the Fourth Proportional to 523,073.92, 784,507.51 and 143,896.83

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Solution

The fourth proportional to 523,073.92, 784,507.51 and 143,896.83 is: 215,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,073.92 : 784,507.51 = 143,896.83 : x
  2. Step 2: Convert to fraction form
    523,073.92/784,507.51 = 143,896.83/x
  3. Step 3: Cross multiply
    523,073.92x = 784,507.51 × 143,896.83
  4. Step 4: Simplify right side
    523,073.92x = 112,888,143,800.19
  5. Step 5: Solve for x
    x = 112,888,143,800.19/523,073.92
  6. Step 6: Final answer
    x = 215,816.81

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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.