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Finding the Fourth Proportional to 407,963.22, 611,944.72 and 127,480.47

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Solution

The fourth proportional to 407,963.22, 611,944.72 and 127,480.47 is: 191,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,963.22 : 611,944.72 = 127,480.47 : x
  2. Step 2: Convert to fraction form
    407,963.22/611,944.72 = 127,480.47/x
  3. Step 3: Cross multiply
    407,963.22x = 611,944.72 × 127,480.47
  4. Step 4: Simplify right side
    407,963.22x = 78,011,000,200.92
  5. Step 5: Solve for x
    x = 78,011,000,200.92/407,963.22
  6. Step 6: Final answer
    x = 191,220.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.