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Finding the Fourth Proportional to 421,338.59, 581,447.22 and 230,351.93

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Solution

The fourth proportional to 421,338.59, 581,447.22 and 230,351.93 is: 317,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,338.59 : 581,447.22 = 230,351.93 : x
  2. Step 2: Convert to fraction form
    421,338.59/581,447.22 = 230,351.93/x
  3. Step 3: Cross multiply
    421,338.59x = 581,447.22 × 230,351.93
  4. Step 4: Simplify right side
    421,338.59x = 133,937,489,320.14
  5. Step 5: Solve for x
    x = 133,937,489,320.14/421,338.59
  6. Step 6: Final answer
    x = 317,885.64

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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.