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Finding the Fourth Proportional to 642,392.40, 886,508.64 and 355,917

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Solution

The fourth proportional to 642,392.40, 886,508.64 and 355,917 is: 491,169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,392.40 : 886,508.64 = 355,917 : x
  2. Step 2: Convert to fraction form
    642,392.40/886,508.64 = 355,917/x
  3. Step 3: Cross multiply
    642,392.40x = 886,508.64 × 355,917
  4. Step 4: Simplify right side
    642,392.40x = 315,523,495,622.88
  5. Step 5: Solve for x
    x = 315,523,495,622.88/642,392.40
  6. Step 6: Final answer
    x = 491,169.41

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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.