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Finding the Fourth Proportional to 522,864.87, 784,215.27 and 143,814.03

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Solution

The fourth proportional to 522,864.87, 784,215.27 and 143,814.03 is: 215,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,864.87 : 784,215.27 = 143,814.03 : x
  2. Step 2: Convert to fraction form
    522,864.87/784,215.27 = 143,814.03/x
  3. Step 3: Cross multiply
    522,864.87x = 784,215.27 × 143,814.03
  4. Step 4: Simplify right side
    522,864.87x = 112,781,158,366.24
  5. Step 5: Solve for x
    x = 112,781,158,366.24/522,864.87
  6. Step 6: Final answer
    x = 215,698.48

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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.