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Finding the Fourth Proportional to 407,915.72, 562,919.98 and 226,628

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Solution

The fourth proportional to 407,915.72, 562,919.98 and 226,628 is: 312,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,915.72 : 562,919.98 = 226,628 : x
  2. Step 2: Convert to fraction form
    407,915.72/562,919.98 = 226,628/x
  3. Step 3: Cross multiply
    407,915.72x = 562,919.98 × 226,628
  4. Step 4: Simplify right side
    407,915.72x = 127,573,429,227.44
  5. Step 5: Solve for x
    x = 127,573,429,227.44/407,915.72
  6. Step 6: Final answer
    x = 312,744.58

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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.