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Finding the Fourth Proportional to 299,664, 413,536.32 and 165,528

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Solution

The fourth proportional to 299,664, 413,536.32 and 165,528 is: 228,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664 : 413,536.32 = 165,528 : x
  2. Step 2: Convert to fraction form
    299,664/413,536.32 = 165,528/x
  3. Step 3: Cross multiply
    299,664x = 413,536.32 × 165,528
  4. Step 4: Simplify right side
    299,664x = 68,451,839,976.96
  5. Step 5: Solve for x
    x = 68,451,839,976.96/299,664
  6. Step 6: Final answer
    x = 228,428.64

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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.