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Finding the Fourth Proportional to 307,664.60, 461,237.70 and 159,920.60

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Solution

The fourth proportional to 307,664.60, 461,237.70 and 159,920.60 is: 239,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,664.60 : 461,237.70 = 159,920.60 : x
  2. Step 2: Convert to fraction form
    307,664.60/461,237.70 = 159,920.60/x
  3. Step 3: Cross multiply
    307,664.60x = 461,237.70 × 159,920.60
  4. Step 4: Simplify right side
    307,664.60x = 73,761,409,726.62
  5. Step 5: Solve for x
    x = 73,761,409,726.62/307,664.60
  6. Step 6: Final answer
    x = 239,746.17

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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.