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Finding the Fourth Proportional to 405,048.89, 607,659.39 and 138,737.90

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Solution

The fourth proportional to 405,048.89, 607,659.39 and 138,737.90 is: 208,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,048.89 : 607,659.39 = 138,737.90 : x
  2. Step 2: Convert to fraction form
    405,048.89/607,659.39 = 138,737.90/x
  3. Step 3: Cross multiply
    405,048.89x = 607,659.39 × 138,737.90
  4. Step 4: Simplify right side
    405,048.89x = 84,305,384,645.58
  5. Step 5: Solve for x
    x = 84,305,384,645.58/405,048.89
  6. Step 6: Final answer
    x = 208,136.32

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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.