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Finding the Fourth Proportional to 315,160.16, 435,395.27 and 206,522.64

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Solution

The fourth proportional to 315,160.16, 435,395.27 and 206,522.64 is: 285,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,160.16 : 435,395.27 = 206,522.64 : x
  2. Step 2: Convert to fraction form
    315,160.16/435,395.27 = 206,522.64/x
  3. Step 3: Cross multiply
    315,160.16x = 435,395.27 × 206,522.64
  4. Step 4: Simplify right side
    315,160.16x = 89,918,979,571.30
  5. Step 5: Solve for x
    x = 89,918,979,571.30/315,160.16
  6. Step 6: Final answer
    x = 285,312.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.