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Finding the Fourth Proportional to 523,850, 722,913 and 285,386

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Solution

The fourth proportional to 523,850, 722,913 and 285,386 is: 393,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,850 : 722,913 = 285,386 : x
  2. Step 2: Convert to fraction form
    523,850/722,913 = 285,386/x
  3. Step 3: Cross multiply
    523,850x = 722,913 × 285,386
  4. Step 4: Simplify right side
    523,850x = 206,309,249,418
  5. Step 5: Solve for x
    x = 206,309,249,418/523,850
  6. Step 6: Final answer
    x = 393,832.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.