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Finding the Fourth Proportional to 307,815.96, 461,760.72 and 291,019.80

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Solution

The fourth proportional to 307,815.96, 461,760.72 and 291,019.80 is: 436,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,815.96 : 461,760.72 = 291,019.80 : x
  2. Step 2: Convert to fraction form
    307,815.96/461,760.72 = 291,019.80/x
  3. Step 3: Cross multiply
    307,815.96x = 461,760.72 × 291,019.80
  4. Step 4: Simplify right side
    307,815.96x = 134,381,512,382.26
  5. Step 5: Solve for x
    x = 134,381,512,382.26/307,815.96
  6. Step 6: Final answer
    x = 436,564.47

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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.