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Finding the Fourth Proportional to 402,413.70, 603,620.55 and 337,459.80

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Solution

The fourth proportional to 402,413.70, 603,620.55 and 337,459.80 is: 506,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413.70 : 603,620.55 = 337,459.80 : x
  2. Step 2: Convert to fraction form
    402,413.70/603,620.55 = 337,459.80/x
  3. Step 3: Cross multiply
    402,413.70x = 603,620.55 × 337,459.80
  4. Step 4: Simplify right side
    402,413.70x = 203,697,670,078.89
  5. Step 5: Solve for x
    x = 203,697,670,078.89/402,413.70
  6. Step 6: Final answer
    x = 506,189.70

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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.