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Finding the Fourth Proportional to 405,119.75, 607,709.18 and 138,878.01

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Solution

The fourth proportional to 405,119.75, 607,709.18 and 138,878.01 is: 208,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,119.75 : 607,709.18 = 138,878.01 : x
  2. Step 2: Convert to fraction form
    405,119.75/607,709.18 = 138,878.01/x
  3. Step 3: Cross multiply
    405,119.75x = 607,709.18 × 138,878.01
  4. Step 4: Simplify right side
    405,119.75x = 84,397,441,924.33
  5. Step 5: Solve for x
    x = 84,397,441,924.33/405,119.75
  6. Step 6: Final answer
    x = 208,327.15

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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.