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Finding the Fourth Proportional to 407,115.28, 561,803.88 and 228,255.76

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Solution

The fourth proportional to 407,115.28, 561,803.88 and 228,255.76 is: 314,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.28 : 561,803.88 = 228,255.76 : x
  2. Step 2: Convert to fraction form
    407,115.28/561,803.88 = 228,255.76/x
  3. Step 3: Cross multiply
    407,115.28x = 561,803.88 × 228,255.76
  4. Step 4: Simplify right side
    407,115.28x = 128,234,971,600.35
  5. Step 5: Solve for x
    x = 128,234,971,600.35/407,115.28
  6. Step 6: Final answer
    x = 314,984.42

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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.