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Finding the Fourth Proportional to 522,913.70, 784,443.45 and 223,391.90

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Solution

The fourth proportional to 522,913.70, 784,443.45 and 223,391.90 is: 335,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,913.70 : 784,443.45 = 223,391.90 : x
  2. Step 2: Convert to fraction form
    522,913.70/784,443.45 = 223,391.90/x
  3. Step 3: Cross multiply
    522,913.70x = 784,443.45 × 223,391.90
  4. Step 4: Simplify right side
    522,913.70x = 175,238,312,738.06
  5. Step 5: Solve for x
    x = 175,238,312,738.06/522,913.70
  6. Step 6: Final answer
    x = 335,118.99

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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.