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Finding the Fourth Proportional to 379,602.92, 523,811.94 and 209,809.64

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Solution

The fourth proportional to 379,602.92, 523,811.94 and 209,809.64 is: 289,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,602.92 : 523,811.94 = 209,809.64 : x
  2. Step 2: Convert to fraction form
    379,602.92/523,811.94 = 209,809.64/x
  3. Step 3: Cross multiply
    379,602.92x = 523,811.94 × 209,809.64
  4. Step 4: Simplify right side
    379,602.92x = 109,900,794,559.10
  5. Step 5: Solve for x
    x = 109,900,794,559.10/379,602.92
  6. Step 6: Final answer
    x = 289,515.15

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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.