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Finding the Fourth Proportional to 402,503.40, 603,755.10 and 362,413.80

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Solution

The fourth proportional to 402,503.40, 603,755.10 and 362,413.80 is: 543,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,503.40 : 603,755.10 = 362,413.80 : x
  2. Step 2: Convert to fraction form
    402,503.40/603,755.10 = 362,413.80/x
  3. Step 3: Cross multiply
    402,503.40x = 603,755.10 × 362,413.80
  4. Step 4: Simplify right side
    402,503.40x = 218,809,180,060.38
  5. Step 5: Solve for x
    x = 218,809,180,060.38/402,503.40
  6. Step 6: Final answer
    x = 543,620.70

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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.