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Finding the Fourth Proportional to 245,466, 368,203.48 and 76,982.56

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Solution

The fourth proportional to 245,466, 368,203.48 and 76,982.56 is: 115,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,466 : 368,203.48 = 76,982.56 : x
  2. Step 2: Convert to fraction form
    245,466/368,203.48 = 76,982.56/x
  3. Step 3: Cross multiply
    245,466x = 368,203.48 × 76,982.56
  4. Step 4: Simplify right side
    245,466x = 28,345,246,491.31
  5. Step 5: Solve for x
    x = 28,345,246,491.31/245,466
  6. Step 6: Final answer
    x = 115,475.25

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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.