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Finding the Fourth Proportional to 307,113.62, 423,817.20 and 171,144.58

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Solution

The fourth proportional to 307,113.62, 423,817.20 and 171,144.58 is: 236,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,113.62 : 423,817.20 = 171,144.58 : x
  2. Step 2: Convert to fraction form
    307,113.62/423,817.20 = 171,144.58/x
  3. Step 3: Cross multiply
    307,113.62x = 423,817.20 × 171,144.58
  4. Step 4: Simplify right side
    307,113.62x = 72,534,015,631.23
  5. Step 5: Solve for x
    x = 72,534,015,631.23/307,113.62
  6. Step 6: Final answer
    x = 236,179.74

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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.