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Finding the Fourth Proportional to 299,987.92, 449,981.91 and 207,084.16

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Solution

The fourth proportional to 299,987.92, 449,981.91 and 207,084.16 is: 310,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,987.92 : 449,981.91 = 207,084.16 : x
  2. Step 2: Convert to fraction form
    299,987.92/449,981.91 = 207,084.16/x
  3. Step 3: Cross multiply
    299,987.92x = 449,981.91 × 207,084.16
  4. Step 4: Simplify right side
    299,987.92x = 93,184,125,847.55
  5. Step 5: Solve for x
    x = 93,184,125,847.55/299,987.92
  6. Step 6: Final answer
    x = 310,626.26

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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.