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Finding the Fourth Proportional to 355,047.92, 489,969.50 and 202,078.64

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Solution

The fourth proportional to 355,047.92, 489,969.50 and 202,078.64 is: 278,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,047.92 : 489,969.50 = 202,078.64 : x
  2. Step 2: Convert to fraction form
    355,047.92/489,969.50 = 202,078.64/x
  3. Step 3: Cross multiply
    355,047.92x = 489,969.50 × 202,078.64
  4. Step 4: Simplify right side
    355,047.92x = 99,012,370,201.48
  5. Step 5: Solve for x
    x = 99,012,370,201.48/355,047.92
  6. Step 6: Final answer
    x = 278,870.44

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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.