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Finding the Fourth Proportional to 421,524.84, 581,703 and 227,931.24

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Solution

The fourth proportional to 421,524.84, 581,703 and 227,931.24 is: 314,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,524.84 : 581,703 = 227,931.24 : x
  2. Step 2: Convert to fraction form
    421,524.84/581,703 = 227,931.24/x
  3. Step 3: Cross multiply
    421,524.84x = 581,703 × 227,931.24
  4. Step 4: Simplify right side
    421,524.84x = 132,588,286,101.72
  5. Step 5: Solve for x
    x = 132,588,286,101.72/421,524.84
  6. Step 6: Final answer
    x = 314,544.42

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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.