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Finding the Fourth Proportional to 305,402, 421,493.68 and 171,266

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Solution

The fourth proportional to 305,402, 421,493.68 and 171,266 is: 236,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,402 : 421,493.68 = 171,266 : x
  2. Step 2: Convert to fraction form
    305,402/421,493.68 = 171,266/x
  3. Step 3: Cross multiply
    305,402x = 421,493.68 × 171,266
  4. Step 4: Simplify right side
    305,402x = 72,187,536,598.88
  5. Step 5: Solve for x
    x = 72,187,536,598.88/305,402
  6. Step 6: Final answer
    x = 236,368.91

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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.