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Finding the Fourth Proportional to 299,135.40, 448,703.10 and 228,276.60

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Solution

The fourth proportional to 299,135.40, 448,703.10 and 228,276.60 is: 342,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,135.40 : 448,703.10 = 228,276.60 : x
  2. Step 2: Convert to fraction form
    299,135.40/448,703.10 = 228,276.60/x
  3. Step 3: Cross multiply
    299,135.40x = 448,703.10 × 228,276.60
  4. Step 4: Simplify right side
    299,135.40x = 102,428,418,077.46
  5. Step 5: Solve for x
    x = 102,428,418,077.46/299,135.40
  6. Step 6: Final answer
    x = 342,414.90

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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.