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Finding the Fourth Proportional to 617,734.49, 927,200.95 and 298,111.30

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Solution

The fourth proportional to 617,734.49, 927,200.95 and 298,111.30 is: 447,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,734.49 : 927,200.95 = 298,111.30 : x
  2. Step 2: Convert to fraction form
    617,734.49/927,200.95 = 298,111.30/x
  3. Step 3: Cross multiply
    617,734.49x = 927,200.95 × 298,111.30
  4. Step 4: Simplify right side
    617,734.49x = 276,409,083,629.02
  5. Step 5: Solve for x
    x = 276,409,083,629.02/617,734.49
  6. Step 6: Final answer
    x = 447,456.13

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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.