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Finding the Fourth Proportional to 307,223.88, 423,993.60 and 171,302.10

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Solution

The fourth proportional to 307,223.88, 423,993.60 and 171,302.10 is: 236,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,223.88 : 423,993.60 = 171,302.10 : x
  2. Step 2: Convert to fraction form
    307,223.88/423,993.60 = 171,302.10/x
  3. Step 3: Cross multiply
    307,223.88x = 423,993.60 × 171,302.10
  4. Step 4: Simplify right side
    307,223.88x = 72,630,994,066.56
  5. Step 5: Solve for x
    x = 72,630,994,066.56/307,223.88
  6. Step 6: Final answer
    x = 236,410.64

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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.