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Finding the Fourth Proportional to 343,407.81, 514,493.88 and 323,150.11

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Solution

The fourth proportional to 343,407.81, 514,493.88 and 323,150.11 is: 484,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,407.81 : 514,493.88 = 323,150.11 : x
  2. Step 2: Convert to fraction form
    343,407.81/514,493.88 = 323,150.11/x
  3. Step 3: Cross multiply
    343,407.81x = 514,493.88 × 323,150.11
  4. Step 4: Simplify right side
    343,407.81x = 166,258,753,916.33
  5. Step 5: Solve for x
    x = 166,258,753,916.33/343,407.81
  6. Step 6: Final answer
    x = 484,143.78

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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.