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Finding the Fourth Proportional to 313,537.68, 469,984.32 and 123,921

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Solution

The fourth proportional to 313,537.68, 469,984.32 and 123,921 is: 185,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,537.68 : 469,984.32 = 123,921 : x
  2. Step 2: Convert to fraction form
    313,537.68/469,984.32 = 123,921/x
  3. Step 3: Cross multiply
    313,537.68x = 469,984.32 × 123,921
  4. Step 4: Simplify right side
    313,537.68x = 58,240,926,918.72
  5. Step 5: Solve for x
    x = 58,240,926,918.72/313,537.68
  6. Step 6: Final answer
    x = 185,754.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.