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Finding the Fourth Proportional to 523,989, 723,104.82 and 285,525

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Solution

The fourth proportional to 523,989, 723,104.82 and 285,525 is: 394,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,989 : 723,104.82 = 285,525 : x
  2. Step 2: Convert to fraction form
    523,989/723,104.82 = 285,525/x
  3. Step 3: Cross multiply
    523,989x = 723,104.82 × 285,525
  4. Step 4: Simplify right side
    523,989x = 206,464,503,730.50
  5. Step 5: Solve for x
    x = 206,464,503,730.50/523,989
  6. Step 6: Final answer
    x = 394,024.50

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1.5x scale

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.