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Finding the Fourth Proportional to 206,901.60, 310,352.40 and 147,415.20

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Solution

The fourth proportional to 206,901.60, 310,352.40 and 147,415.20 is: 221,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,901.60 : 310,352.40 = 147,415.20 : x
  2. Step 2: Convert to fraction form
    206,901.60/310,352.40 = 147,415.20/x
  3. Step 3: Cross multiply
    206,901.60x = 310,352.40 × 147,415.20
  4. Step 4: Simplify right side
    206,901.60x = 45,750,661,116.48
  5. Step 5: Solve for x
    x = 45,750,661,116.48/206,901.60
  6. Step 6: Final answer
    x = 221,122.80

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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.