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Finding the Fourth Proportional to 379,442.40, 523,630.70 and 209,676.52

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Solution

The fourth proportional to 379,442.40, 523,630.70 and 209,676.52 is: 289,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,442.40 : 523,630.70 = 209,676.52 : x
  2. Step 2: Convert to fraction form
    379,442.40/523,630.70 = 209,676.52/x
  3. Step 3: Cross multiply
    379,442.40x = 523,630.70 × 209,676.52
  4. Step 4: Simplify right side
    379,442.40x = 109,793,062,941.16
  5. Step 5: Solve for x
    x = 109,793,062,941.16/379,442.40
  6. Step 6: Final answer
    x = 289,353.70

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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.