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Finding the Fourth Proportional to 298,276.20, 447,068.70 and 120,695.40

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Solution

The fourth proportional to 298,276.20, 447,068.70 and 120,695.40 is: 180,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,276.20 : 447,068.70 = 120,695.40 : x
  2. Step 2: Convert to fraction form
    298,276.20/447,068.70 = 120,695.40/x
  3. Step 3: Cross multiply
    298,276.20x = 447,068.70 × 120,695.40
  4. Step 4: Simplify right side
    298,276.20x = 53,959,135,573.98
  5. Step 5: Solve for x
    x = 53,959,135,573.98/298,276.20
  6. Step 6: Final answer
    x = 180,903.26

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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.