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Finding the Fourth Proportional to 407,413.80, 611,703.90 and 230,266.80

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Solution

The fourth proportional to 407,413.80, 611,703.90 and 230,266.80 is: 345,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,413.80 : 611,703.90 = 230,266.80 : x
  2. Step 2: Convert to fraction form
    407,413.80/611,703.90 = 230,266.80/x
  3. Step 3: Cross multiply
    407,413.80x = 611,703.90 × 230,266.80
  4. Step 4: Simplify right side
    407,413.80x = 140,855,099,600.52
  5. Step 5: Solve for x
    x = 140,855,099,600.52/407,413.80
  6. Step 6: Final answer
    x = 345,729.82

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1.5x scale

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.