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Finding the Fourth Proportional to 307,245.40, 423,964.40 and 171,269.08

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Solution

The fourth proportional to 307,245.40, 423,964.40 and 171,269.08 is: 236,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,245.40 : 423,964.40 = 171,269.08 : x
  2. Step 2: Convert to fraction form
    307,245.40/423,964.40 = 171,269.08/x
  3. Step 3: Cross multiply
    307,245.40x = 423,964.40 × 171,269.08
  4. Step 4: Simplify right side
    307,245.40x = 72,611,992,740.75
  5. Step 5: Solve for x
    x = 72,611,992,740.75/307,245.40
  6. Step 6: Final answer
    x = 236,332.24

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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.