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Finding the Fourth Proportional to 312,906.32, 469,417.86 and 142,140.03

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Solution

The fourth proportional to 312,906.32, 469,417.86 and 142,140.03 is: 213,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,906.32 : 469,417.86 = 142,140.03 : x
  2. Step 2: Convert to fraction form
    312,906.32/469,417.86 = 142,140.03/x
  3. Step 3: Cross multiply
    312,906.32x = 469,417.86 × 142,140.03
  4. Step 4: Simplify right side
    312,906.32x = 66,723,068,702.94
  5. Step 5: Solve for x
    x = 66,723,068,702.94/312,906.32
  6. Step 6: Final answer
    x = 213,236.56

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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.