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Finding the Fourth Proportional to 310,439.64, 465,512.04 and 141,909.96

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Solution

The fourth proportional to 310,439.64, 465,512.04 and 141,909.96 is: 212,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,439.64 : 465,512.04 = 141,909.96 : x
  2. Step 2: Convert to fraction form
    310,439.64/465,512.04 = 141,909.96/x
  3. Step 3: Cross multiply
    310,439.64x = 465,512.04 × 141,909.96
  4. Step 4: Simplify right side
    310,439.64x = 66,060,794,975.92
  5. Step 5: Solve for x
    x = 66,060,794,975.92/310,439.64
  6. Step 6: Final answer
    x = 212,797.55

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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.