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Finding the Fourth Proportional to 421,028.61, 581,012.64 and 230,037.90

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Solution

The fourth proportional to 421,028.61, 581,012.64 and 230,037.90 is: 317,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,028.61 : 581,012.64 = 230,037.90 : x
  2. Step 2: Convert to fraction form
    421,028.61/581,012.64 = 230,037.90/x
  3. Step 3: Cross multiply
    421,028.61x = 581,012.64 × 230,037.90
  4. Step 4: Simplify right side
    421,028.61x = 133,654,927,579.06
  5. Step 5: Solve for x
    x = 133,654,927,579.06/421,028.61
  6. Step 6: Final answer
    x = 317,448.56

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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.