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Finding the Fourth Proportional to 340,638.72, 470,081.60 and 197,481.92

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Solution

The fourth proportional to 340,638.72, 470,081.60 and 197,481.92 is: 272,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,638.72 : 470,081.60 = 197,481.92 : x
  2. Step 2: Convert to fraction form
    340,638.72/470,081.60 = 197,481.92/x
  3. Step 3: Cross multiply
    340,638.72x = 470,081.60 × 197,481.92
  4. Step 4: Simplify right side
    340,638.72x = 92,832,616,924.67
  5. Step 5: Solve for x
    x = 92,832,616,924.67/340,638.72
  6. Step 6: Final answer
    x = 272,525.15

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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.