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Finding the Fourth Proportional to 405,131.75, 607,727.19 and 138,890.01

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Solution

The fourth proportional to 405,131.75, 607,727.19 and 138,890.01 is: 208,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,131.75 : 607,727.19 = 138,890.01 : x
  2. Step 2: Convert to fraction form
    405,131.75/607,727.19 = 138,890.01/x
  3. Step 3: Cross multiply
    405,131.75x = 607,727.19 × 138,890.01
  4. Step 4: Simplify right side
    405,131.75x = 84,407,235,496.37
  5. Step 5: Solve for x
    x = 84,407,235,496.37/405,131.75
  6. Step 6: Final answer
    x = 208,345.15

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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.