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Finding the Fourth Proportional to 405,253.12, 607,872.96 and 155,989.12

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Solution

The fourth proportional to 405,253.12, 607,872.96 and 155,989.12 is: 233,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,253.12 : 607,872.96 = 155,989.12 : x
  2. Step 2: Convert to fraction form
    405,253.12/607,872.96 = 155,989.12/x
  3. Step 3: Cross multiply
    405,253.12x = 607,872.96 × 155,989.12
  4. Step 4: Simplify right side
    405,253.12x = 94,821,568,102.20
  5. Step 5: Solve for x
    x = 94,821,568,102.20/405,253.12
  6. Step 6: Final answer
    x = 233,981.09

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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.