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Finding the Fourth Proportional to 340,673.64, 470,025.55 and 197,406

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Solution

The fourth proportional to 340,673.64, 470,025.55 and 197,406 is: 272,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,673.64 : 470,025.55 = 197,406 : x
  2. Step 2: Convert to fraction form
    340,673.64/470,025.55 = 197,406/x
  3. Step 3: Cross multiply
    340,673.64x = 470,025.55 × 197,406
  4. Step 4: Simplify right side
    340,673.64x = 92,785,863,723.30
  5. Step 5: Solve for x
    x = 92,785,863,723.30/340,673.64
  6. Step 6: Final answer
    x = 272,359.97

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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.