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Finding the Fourth Proportional to 298,276.25, 447,415.29 and 73,636.70

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Solution

The fourth proportional to 298,276.25, 447,415.29 and 73,636.70 is: 110,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,276.25 : 447,415.29 = 73,636.70 : x
  2. Step 2: Convert to fraction form
    298,276.25/447,415.29 = 73,636.70/x
  3. Step 3: Cross multiply
    298,276.25x = 447,415.29 × 73,636.70
  4. Step 4: Simplify right side
    298,276.25x = 32,946,183,248.07
  5. Step 5: Solve for x
    x = 32,946,183,248.07/298,276.25
  6. Step 6: Final answer
    x = 110,455.27

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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.