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Finding the Fourth Proportional to 299,431, 413,214.78 and 165,295.96

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Solution

The fourth proportional to 299,431, 413,214.78 and 165,295.96 is: 228,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,431 : 413,214.78 = 165,295.96 : x
  2. Step 2: Convert to fraction form
    299,431/413,214.78 = 165,295.96/x
  3. Step 3: Cross multiply
    299,431x = 413,214.78 × 165,295.96
  4. Step 4: Simplify right side
    299,431x = 68,302,733,746.29
  5. Step 5: Solve for x
    x = 68,302,733,746.29/299,431
  6. Step 6: Final answer
    x = 228,108.42

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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.