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Finding the Fourth Proportional to 421,039.82, 581,034.45 and 227,447.49

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Solution

The fourth proportional to 421,039.82, 581,034.45 and 227,447.49 is: 313,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,039.82 : 581,034.45 = 227,447.49 : x
  2. Step 2: Convert to fraction form
    421,039.82/581,034.45 = 227,447.49/x
  3. Step 3: Cross multiply
    421,039.82x = 581,034.45 × 227,447.49
  4. Step 4: Simplify right side
    421,039.82x = 132,154,827,256.03
  5. Step 5: Solve for x
    x = 132,154,827,256.03/421,039.82
  6. Step 6: Final answer
    x = 313,877.27

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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.