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Finding the Fourth Proportional to 522,856, 784,400.64 and 190,432

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Solution

The fourth proportional to 522,856, 784,400.64 and 190,432 is: 285,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,856 : 784,400.64 = 190,432 : x
  2. Step 2: Convert to fraction form
    522,856/784,400.64 = 190,432/x
  3. Step 3: Cross multiply
    522,856x = 784,400.64 × 190,432
  4. Step 4: Simplify right side
    522,856x = 149,374,982,676.48
  5. Step 5: Solve for x
    x = 149,374,982,676.48/522,856
  6. Step 6: Final answer
    x = 285,690.48

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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.