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Finding the Fourth Proportional to 407,415.98, 562,229.78 and 226,129.48

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Solution

The fourth proportional to 407,415.98, 562,229.78 and 226,129.48 is: 312,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,415.98 : 562,229.78 = 226,129.48 : x
  2. Step 2: Convert to fraction form
    407,415.98/562,229.78 = 226,129.48/x
  3. Step 3: Cross multiply
    407,415.98x = 562,229.78 × 226,129.48
  4. Step 4: Simplify right side
    407,415.98x = 127,136,725,255.69
  5. Step 5: Solve for x
    x = 127,136,725,255.69/407,415.98
  6. Step 6: Final answer
    x = 312,056.30

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1.5x scale

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.