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Finding the Fourth Proportional to 299,477.76, 413,268.48 and 165,338.88

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Solution

The fourth proportional to 299,477.76, 413,268.48 and 165,338.88 is: 228,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,477.76 : 413,268.48 = 165,338.88 : x
  2. Step 2: Convert to fraction form
    299,477.76/413,268.48 = 165,338.88/x
  3. Step 3: Cross multiply
    299,477.76x = 413,268.48 × 165,338.88
  4. Step 4: Simplify right side
    299,477.76x = 68,329,347,622.50
  5. Step 5: Solve for x
    x = 68,329,347,622.50/299,477.76
  6. Step 6: Final answer
    x = 228,161.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.