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Finding the Fourth Proportional to 428,154.62, 642,322.11 and 161,909.24

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Solution

The fourth proportional to 428,154.62, 642,322.11 and 161,909.24 is: 242,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,154.62 : 642,322.11 = 161,909.24 : x
  2. Step 2: Convert to fraction form
    428,154.62/642,322.11 = 161,909.24/x
  3. Step 3: Cross multiply
    428,154.62x = 642,322.11 × 161,909.24
  4. Step 4: Simplify right side
    428,154.62x = 103,997,884,665.30
  5. Step 5: Solve for x
    x = 103,997,884,665.30/428,154.62
  6. Step 6: Final answer
    x = 242,897.96

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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.