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Finding the Fourth Proportional to 307,173.80, 423,904.06 and 171,203.96

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Solution

The fourth proportional to 307,173.80, 423,904.06 and 171,203.96 is: 236,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,173.80 : 423,904.06 = 171,203.96 : x
  2. Step 2: Convert to fraction form
    307,173.80/423,904.06 = 171,203.96/x
  3. Step 3: Cross multiply
    307,173.80x = 423,904.06 × 171,203.96
  4. Step 4: Simplify right side
    307,173.80x = 72,574,053,732.08
  5. Step 5: Solve for x
    x = 72,574,053,732.08/307,173.80
  6. Step 6: Final answer
    x = 236,263.81

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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.