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Finding the Fourth Proportional to 310,664.32, 428,861.16 and 234,214.36

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Solution

The fourth proportional to 310,664.32, 428,861.16 and 234,214.36 is: 323,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,664.32 : 428,861.16 = 234,214.36 : x
  2. Step 2: Convert to fraction form
    310,664.32/428,861.16 = 234,214.36/x
  3. Step 3: Cross multiply
    310,664.32x = 428,861.16 × 234,214.36
  4. Step 4: Simplify right side
    310,664.32x = 100,445,442,118.26
  5. Step 5: Solve for x
    x = 100,445,442,118.26/310,664.32
  6. Step 6: Final answer
    x = 323,324.68

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1.5x scale

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.