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Finding the Fourth Proportional to 523,625.50, 722,603.19 and 285,161.50

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Solution

The fourth proportional to 523,625.50, 722,603.19 and 285,161.50 is: 393,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,625.50 : 722,603.19 = 285,161.50 : x
  2. Step 2: Convert to fraction form
    523,625.50/722,603.19 = 285,161.50/x
  3. Step 3: Cross multiply
    523,625.50x = 722,603.19 × 285,161.50
  4. Step 4: Simplify right side
    523,625.50x = 206,058,609,565.19
  5. Step 5: Solve for x
    x = 206,058,609,565.19/523,625.50
  6. Step 6: Final answer
    x = 393,522.87

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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.