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Finding the Fourth Proportional to 307,619.20, 461,428.80 and 245,411.20

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Solution

The fourth proportional to 307,619.20, 461,428.80 and 245,411.20 is: 368,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,619.20 : 461,428.80 = 245,411.20 : x
  2. Step 2: Convert to fraction form
    307,619.20/461,428.80 = 245,411.20/x
  3. Step 3: Cross multiply
    307,619.20x = 461,428.80 × 245,411.20
  4. Step 4: Simplify right side
    307,619.20x = 113,239,795,522.56
  5. Step 5: Solve for x
    x = 113,239,795,522.56/307,619.20
  6. Step 6: Final answer
    x = 368,116.80

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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.