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Finding the Fourth Proportional to 200,413.32, 300,647.65 and 67,331.63

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Solution

The fourth proportional to 200,413.32, 300,647.65 and 67,331.63 is: 101,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.32 : 300,647.65 = 67,331.63 : x
  2. Step 2: Convert to fraction form
    200,413.32/300,647.65 = 67,331.63/x
  3. Step 3: Cross multiply
    200,413.32x = 300,647.65 × 67,331.63
  4. Step 4: Simplify right side
    200,413.32x = 20,243,096,330.17
  5. Step 5: Solve for x
    x = 20,243,096,330.17/200,413.32
  6. Step 6: Final answer
    x = 101,006.74

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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.