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Finding the Fourth Proportional to 265,606.13, 398,487.22 and 78,622.49

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Solution

The fourth proportional to 265,606.13, 398,487.22 and 78,622.49 is: 117,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,606.13 : 398,487.22 = 78,622.49 : x
  2. Step 2: Convert to fraction form
    265,606.13/398,487.22 = 78,622.49/x
  3. Step 3: Cross multiply
    265,606.13x = 398,487.22 × 78,622.49
  4. Step 4: Simplify right side
    265,606.13x = 31,330,055,280.59
  5. Step 5: Solve for x
    x = 31,330,055,280.59/265,606.13
  6. Step 6: Final answer
    x = 117,956.83

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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.