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Finding the Fourth Proportional to 413,916.40, 621,020.40 and 203,413.60

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Solution

The fourth proportional to 413,916.40, 621,020.40 and 203,413.60 is: 305,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,916.40 : 621,020.40 = 203,413.60 : x
  2. Step 2: Convert to fraction form
    413,916.40/621,020.40 = 203,413.60/x
  3. Step 3: Cross multiply
    413,916.40x = 621,020.40 × 203,413.60
  4. Step 4: Simplify right side
    413,916.40x = 126,323,995,237.44
  5. Step 5: Solve for x
    x = 126,323,995,237.44/413,916.40
  6. Step 6: Final answer
    x = 305,192.05

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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.