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Finding the Fourth Proportional to 405,200, 607,825.92 and 155,882

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Solution

The fourth proportional to 405,200, 607,825.92 and 155,882 is: 233,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,200 : 607,825.92 = 155,882 : x
  2. Step 2: Convert to fraction form
    405,200/607,825.92 = 155,882/x
  3. Step 3: Cross multiply
    405,200x = 607,825.92 × 155,882
  4. Step 4: Simplify right side
    405,200x = 94,749,120,061.44
  5. Step 5: Solve for x
    x = 94,749,120,061.44/405,200
  6. Step 6: Final answer
    x = 233,832.97

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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.