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Finding the Fourth Proportional to 299,800.64, 413,708.64 and 165,656

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Solution

The fourth proportional to 299,800.64, 413,708.64 and 165,656 is: 228,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,800.64 : 413,708.64 = 165,656 : x
  2. Step 2: Convert to fraction form
    299,800.64/413,708.64 = 165,656/x
  3. Step 3: Cross multiply
    299,800.64x = 413,708.64 × 165,656
  4. Step 4: Simplify right side
    299,800.64x = 68,533,318,467.84
  5. Step 5: Solve for x
    x = 68,533,318,467.84/299,800.64
  6. Step 6: Final answer
    x = 228,596.30

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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.