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Finding the Fourth Proportional to 315,881.92, 435,915.48 and 172,638.64

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Solution

The fourth proportional to 315,881.92, 435,915.48 and 172,638.64 is: 238,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,881.92 : 435,915.48 = 172,638.64 : x
  2. Step 2: Convert to fraction form
    315,881.92/435,915.48 = 172,638.64/x
  3. Step 3: Cross multiply
    315,881.92x = 435,915.48 × 172,638.64
  4. Step 4: Simplify right side
    315,881.92x = 75,255,855,622.15
  5. Step 5: Solve for x
    x = 75,255,855,622.15/315,881.92
  6. Step 6: Final answer
    x = 238,240.47

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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.