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Finding the Fourth Proportional to 310,611.60, 465,917.40 and 198,637.20

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Solution

The fourth proportional to 310,611.60, 465,917.40 and 198,637.20 is: 297,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,611.60 : 465,917.40 = 198,637.20 : x
  2. Step 2: Convert to fraction form
    310,611.60/465,917.40 = 198,637.20/x
  3. Step 3: Cross multiply
    310,611.60x = 465,917.40 × 198,637.20
  4. Step 4: Simplify right side
    310,611.60x = 92,548,527,767.28
  5. Step 5: Solve for x
    x = 92,548,527,767.28/310,611.60
  6. Step 6: Final answer
    x = 297,955.80

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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.