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Finding the Fourth Proportional to 522,814.20, 784,205.10 and 148,837.20

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Solution

The fourth proportional to 522,814.20, 784,205.10 and 148,837.20 is: 223,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,814.20 : 784,205.10 = 148,837.20 : x
  2. Step 2: Convert to fraction form
    522,814.20/784,205.10 = 148,837.20/x
  3. Step 3: Cross multiply
    522,814.20x = 784,205.10 × 148,837.20
  4. Step 4: Simplify right side
    522,814.20x = 116,718,891,309.72
  5. Step 5: Solve for x
    x = 116,718,891,309.72/522,814.20
  6. Step 6: Final answer
    x = 223,251.19

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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.