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Finding the Fourth Proportional to 340,389.78, 469,800.88 and 197,149.78

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Solution

The fourth proportional to 340,389.78, 469,800.88 and 197,149.78 is: 272,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,389.78 : 469,800.88 = 197,149.78 : x
  2. Step 2: Convert to fraction form
    340,389.78/469,800.88 = 197,149.78/x
  3. Step 3: Cross multiply
    340,389.78x = 469,800.88 × 197,149.78
  4. Step 4: Simplify right side
    340,389.78x = 92,621,140,135.81
  5. Step 5: Solve for x
    x = 92,621,140,135.81/340,389.78
  6. Step 6: Final answer
    x = 272,103.18

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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.