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Finding the Fourth Proportional to 379,141.96, 523,211.70 and 209,372.68

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Solution

The fourth proportional to 379,141.96, 523,211.70 and 209,372.68 is: 288,931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,141.96 : 523,211.70 = 209,372.68 : x
  2. Step 2: Convert to fraction form
    379,141.96/523,211.70 = 209,372.68/x
  3. Step 3: Cross multiply
    379,141.96x = 523,211.70 × 209,372.68
  4. Step 4: Simplify right side
    379,141.96x = 109,546,235,836.36
  5. Step 5: Solve for x
    x = 109,546,235,836.36/379,141.96
  6. Step 6: Final answer
    x = 288,931.98

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1.5x scale

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.