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Finding the Fourth Proportional to 400,413.78, 552,571.02 and 219,125.70

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Solution

The fourth proportional to 400,413.78, 552,571.02 and 219,125.70 is: 302,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,413.78 : 552,571.02 = 219,125.70 : x
  2. Step 2: Convert to fraction form
    400,413.78/552,571.02 = 219,125.70/x
  3. Step 3: Cross multiply
    400,413.78x = 552,571.02 × 219,125.70
  4. Step 4: Simplify right side
    400,413.78x = 121,082,511,557.21
  5. Step 5: Solve for x
    x = 121,082,511,557.21/400,413.78
  6. Step 6: Final answer
    x = 302,393.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.