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Finding the Fourth Proportional to 307,202.74, 423,941.70 and 171,245.32

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Solution

The fourth proportional to 307,202.74, 423,941.70 and 171,245.32 is: 236,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,202.74 : 423,941.70 = 171,245.32 : x
  2. Step 2: Convert to fraction form
    307,202.74/423,941.70 = 171,245.32/x
  3. Step 3: Cross multiply
    307,202.74x = 423,941.70 × 171,245.32
  4. Step 4: Simplify right side
    307,202.74x = 72,598,032,077.84
  5. Step 5: Solve for x
    x = 72,598,032,077.84/307,202.74
  6. Step 6: Final answer
    x = 236,319.61

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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.