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Finding the Fourth Proportional to 342,290.30, 512,998.05 and 164,414.30

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Solution

The fourth proportional to 342,290.30, 512,998.05 and 164,414.30 is: 246,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,290.30 : 512,998.05 = 164,414.30 : x
  2. Step 2: Convert to fraction form
    342,290.30/512,998.05 = 164,414.30/x
  3. Step 3: Cross multiply
    342,290.30x = 512,998.05 × 164,414.30
  4. Step 4: Simplify right side
    342,290.30x = 84,344,215,292.12
  5. Step 5: Solve for x
    x = 84,344,215,292.12/342,290.30
  6. Step 6: Final answer
    x = 246,411.35

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1.5x scale

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.