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Finding the Fourth Proportional to 421,028.57, 581,012.64 and 230,037.86

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Solution

The fourth proportional to 421,028.57, 581,012.64 and 230,037.86 is: 317,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,028.57 : 581,012.64 = 230,037.86 : x
  2. Step 2: Convert to fraction form
    421,028.57/581,012.64 = 230,037.86/x
  3. Step 3: Cross multiply
    421,028.57x = 581,012.64 × 230,037.86
  4. Step 4: Simplify right side
    421,028.57x = 133,654,901,433.49
  5. Step 5: Solve for x
    x = 133,654,901,433.49/421,028.57
  6. Step 6: Final answer
    x = 317,448.54

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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.