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Finding the Fourth Proportional to 522,850.91, 784,259.95 and 287,671.86

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Solution

The fourth proportional to 522,850.91, 784,259.95 and 287,671.86 is: 431,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,850.91 : 784,259.95 = 287,671.86 : x
  2. Step 2: Convert to fraction form
    522,850.91/784,259.95 = 287,671.86/x
  3. Step 3: Cross multiply
    522,850.91x = 784,259.95 × 287,671.86
  4. Step 4: Simplify right side
    522,850.91x = 225,609,518,540.01
  5. Step 5: Solve for x
    x = 225,609,518,540.01/522,850.91
  6. Step 6: Final answer
    x = 431,498.76

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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.