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Finding the Fourth Proportional to 340,638.84, 470,081.74 and 197,481.86

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Solution

The fourth proportional to 340,638.84, 470,081.74 and 197,481.86 is: 272,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,638.84 : 470,081.74 = 197,481.86 : x
  2. Step 2: Convert to fraction form
    340,638.84/470,081.74 = 197,481.86/x
  3. Step 3: Cross multiply
    340,638.84x = 470,081.74 × 197,481.86
  4. Step 4: Simplify right side
    340,638.84x = 92,832,616,367.24
  5. Step 5: Solve for x
    x = 92,832,616,367.24/340,638.84
  6. Step 6: Final answer
    x = 272,525.05

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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.