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Finding the Fourth Proportional to 331,681, 457,719.78 and 180,778.36

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Solution

The fourth proportional to 331,681, 457,719.78 and 180,778.36 is: 249,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,681 : 457,719.78 = 180,778.36 : x
  2. Step 2: Convert to fraction form
    331,681/457,719.78 = 180,778.36/x
  3. Step 3: Cross multiply
    331,681x = 457,719.78 × 180,778.36
  4. Step 4: Simplify right side
    331,681x = 82,745,831,167.96
  5. Step 5: Solve for x
    x = 82,745,831,167.96/331,681
  6. Step 6: Final answer
    x = 249,474.14

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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.