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Finding the Fourth Proportional to 521,420.34, 781,819.88 and 161,484.56

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Solution

The fourth proportional to 521,420.34, 781,819.88 and 161,484.56 is: 242,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,420.34 : 781,819.88 = 161,484.56 : x
  2. Step 2: Convert to fraction form
    521,420.34/781,819.88 = 161,484.56/x
  3. Step 3: Cross multiply
    521,420.34x = 781,819.88 × 161,484.56
  4. Step 4: Simplify right side
    521,420.34x = 126,251,839,321.05
  5. Step 5: Solve for x
    x = 126,251,839,321.05/521,420.34
  6. Step 6: Final answer
    x = 242,130.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.