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Finding the Fourth Proportional to 648,214.78, 894,534.96 and 361,717.78

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Solution

The fourth proportional to 648,214.78, 894,534.96 and 361,717.78 is: 499,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,214.78 : 894,534.96 = 361,717.78 : x
  2. Step 2: Convert to fraction form
    648,214.78/894,534.96 = 361,717.78/x
  3. Step 3: Cross multiply
    648,214.78x = 894,534.96 × 361,717.78
  4. Step 4: Simplify right side
    648,214.78x = 323,569,199,863.59
  5. Step 5: Solve for x
    x = 323,569,199,863.59/648,214.78
  6. Step 6: Final answer
    x = 499,169.73

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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.