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Finding the Fourth Proportional to 523,609, 785,413.50 and 129,625

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Solution

The fourth proportional to 523,609, 785,413.50 and 129,625 is: 194,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,609 : 785,413.50 = 129,625 : x
  2. Step 2: Convert to fraction form
    523,609/785,413.50 = 129,625/x
  3. Step 3: Cross multiply
    523,609x = 785,413.50 × 129,625
  4. Step 4: Simplify right side
    523,609x = 101,809,224,937.50
  5. Step 5: Solve for x
    x = 101,809,224,937.50/523,609
  6. Step 6: Final answer
    x = 194,437.50

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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.