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Finding the Fourth Proportional to 312,904.88, 469,415.70 and 142,138.59

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Solution

The fourth proportional to 312,904.88, 469,415.70 and 142,138.59 is: 213,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,904.88 : 469,415.70 = 142,138.59 : x
  2. Step 2: Convert to fraction form
    312,904.88/469,415.70 = 142,138.59/x
  3. Step 3: Cross multiply
    312,904.88x = 469,415.70 × 142,138.59
  4. Step 4: Simplify right side
    312,904.88x = 66,722,083,374.78
  5. Step 5: Solve for x
    x = 66,722,083,374.78/312,904.88
  6. Step 6: Final answer
    x = 213,234.40

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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.