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Finding the Fourth Proportional to 521,421.34, 781,821.38 and 161,485.56

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Solution

The fourth proportional to 521,421.34, 781,821.38 and 161,485.56 is: 242,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,421.34 : 781,821.38 = 161,485.56 : x
  2. Step 2: Convert to fraction form
    521,421.34/781,821.38 = 161,485.56/x
  3. Step 3: Cross multiply
    521,421.34x = 781,821.38 × 161,485.56
  4. Step 4: Simplify right side
    521,421.34x = 126,252,863,369.27
  5. Step 5: Solve for x
    x = 126,252,863,369.27/521,421.34
  6. Step 6: Final answer
    x = 242,132.14

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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.