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Finding the Fourth Proportional to 978,047.20, 1,467,508.20 and 347,413.60

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Solution

The fourth proportional to 978,047.20, 1,467,508.20 and 347,413.60 is: 521,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,047.20 : 1,467,508.20 = 347,413.60 : x
  2. Step 2: Convert to fraction form
    978,047.20/1,467,508.20 = 347,413.60/x
  3. Step 3: Cross multiply
    978,047.20x = 1,467,508.20 × 347,413.60
  4. Step 4: Simplify right side
    978,047.20x = 509,832,306,791.52
  5. Step 5: Solve for x
    x = 509,832,306,791.52/978,047.20
  6. Step 6: Final answer
    x = 521,275.77

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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.