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Finding the Fourth Proportional to 499,843.10, 749,108.55 and 200,078.30

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Solution

The fourth proportional to 499,843.10, 749,108.55 and 200,078.30 is: 299,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,843.10 : 749,108.55 = 200,078.30 : x
  2. Step 2: Convert to fraction form
    499,843.10/749,108.55 = 200,078.30/x
  3. Step 3: Cross multiply
    499,843.10x = 749,108.55 × 200,078.30
  4. Step 4: Simplify right side
    499,843.10x = 149,880,365,199.47
  5. Step 5: Solve for x
    x = 149,880,365,199.47/499,843.10
  6. Step 6: Final answer
    x = 299,854.82

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1.5x scale

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.