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Finding the Fourth Proportional to 379,442.40, 523,630.71 and 209,676.53

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Solution

The fourth proportional to 379,442.40, 523,630.71 and 209,676.53 is: 289,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,442.40 : 523,630.71 = 209,676.53 : x
  2. Step 2: Convert to fraction form
    379,442.40/523,630.71 = 209,676.53/x
  3. Step 3: Cross multiply
    379,442.40x = 523,630.71 × 209,676.53
  4. Step 4: Simplify right side
    379,442.40x = 109,793,070,274.24
  5. Step 5: Solve for x
    x = 109,793,070,274.24/379,442.40
  6. Step 6: Final answer
    x = 289,353.72

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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.