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Finding the Fourth Proportional to 345,861.76, 477,207.96 and 209,892.66

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Solution

The fourth proportional to 345,861.76, 477,207.96 and 209,892.66 is: 289,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,861.76 : 477,207.96 = 209,892.66 : x
  2. Step 2: Convert to fraction form
    345,861.76/477,207.96 = 209,892.66/x
  3. Step 3: Cross multiply
    345,861.76x = 477,207.96 × 209,892.66
  4. Step 4: Simplify right side
    345,861.76x = 100,162,448,097.57
  5. Step 5: Solve for x
    x = 100,162,448,097.57/345,861.76
  6. Step 6: Final answer
    x = 289,602.55

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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.