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Finding the Fourth Proportional to 305,253, 421,249.14 and 169,307.76

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Solution

The fourth proportional to 305,253, 421,249.14 and 169,307.76 is: 233,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,253 : 421,249.14 = 169,307.76 : x
  2. Step 2: Convert to fraction form
    305,253/421,249.14 = 169,307.76/x
  3. Step 3: Cross multiply
    305,253x = 421,249.14 × 169,307.76
  4. Step 4: Simplify right side
    305,253x = 71,320,749,875.01
  5. Step 5: Solve for x
    x = 71,320,749,875.01/305,253
  6. Step 6: Final answer
    x = 233,644.71

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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.