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Finding the Fourth Proportional to 522,780.86, 782,908.26 and 297,458.78

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Solution

The fourth proportional to 522,780.86, 782,908.26 and 297,458.78 is: 445,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,780.86 : 782,908.26 = 297,458.78 : x
  2. Step 2: Convert to fraction form
    522,780.86/782,908.26 = 297,458.78/x
  3. Step 3: Cross multiply
    522,780.86x = 782,908.26 × 297,458.78
  4. Step 4: Simplify right side
    522,780.86x = 232,882,935,871.52
  5. Step 5: Solve for x
    x = 232,882,935,871.52/522,780.86
  6. Step 6: Final answer
    x = 445,469.51

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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.