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Finding the Fourth Proportional to 340,512.50, 469,682.12 and 212,966.66

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Solution

The fourth proportional to 340,512.50, 469,682.12 and 212,966.66 is: 293,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,512.50 : 469,682.12 = 212,966.66 : x
  2. Step 2: Convert to fraction form
    340,512.50/469,682.12 = 212,966.66/x
  3. Step 3: Cross multiply
    340,512.50x = 469,682.12 × 212,966.66
  4. Step 4: Simplify right side
    340,512.50x = 100,026,632,358.12
  5. Step 5: Solve for x
    x = 100,026,632,358.12/340,512.50
  6. Step 6: Final answer
    x = 293,753.19

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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.