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Finding the Fourth Proportional to 499,228.60, 748,846.10 and 199,734.20

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Solution

The fourth proportional to 499,228.60, 748,846.10 and 199,734.20 is: 299,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,228.60 : 748,846.10 = 199,734.20 : x
  2. Step 2: Convert to fraction form
    499,228.60/748,846.10 = 199,734.20/x
  3. Step 3: Cross multiply
    499,228.60x = 748,846.10 × 199,734.20
  4. Step 4: Simplify right side
    499,228.60x = 149,570,176,706.62
  5. Step 5: Solve for x
    x = 149,570,176,706.62/499,228.60
  6. Step 6: Final answer
    x = 299,602.58

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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.