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Finding the Fourth Proportional to 299,538.08, 413,354.64 and 165,399.20

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Solution

The fourth proportional to 299,538.08, 413,354.64 and 165,399.20 is: 228,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,538.08 : 413,354.64 = 165,399.20 : x
  2. Step 2: Convert to fraction form
    299,538.08/413,354.64 = 165,399.20/x
  3. Step 3: Cross multiply
    299,538.08x = 413,354.64 × 165,399.20
  4. Step 4: Simplify right side
    299,538.08x = 68,368,526,772.29
  5. Step 5: Solve for x
    x = 68,368,526,772.29/299,538.08
  6. Step 6: Final answer
    x = 228,246.53

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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.