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Finding the Fourth Proportional to 405,213.62, 607,846.36 and 155,895.62

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Solution

The fourth proportional to 405,213.62, 607,846.36 and 155,895.62 is: 233,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,213.62 : 607,846.36 = 155,895.62 : x
  2. Step 2: Convert to fraction form
    405,213.62/607,846.36 = 155,895.62/x
  3. Step 3: Cross multiply
    405,213.62x = 607,846.36 × 155,895.62
  4. Step 4: Simplify right side
    405,213.62x = 94,760,585,156.94
  5. Step 5: Solve for x
    x = 94,760,585,156.94/405,213.62
  6. Step 6: Final answer
    x = 233,853.41

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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.