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Finding the Fourth Proportional to 340,586.36, 470,009.32 and 197,429.44

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Solution

The fourth proportional to 340,586.36, 470,009.32 and 197,429.44 is: 272,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,586.36 : 470,009.32 = 197,429.44 : x
  2. Step 2: Convert to fraction form
    340,586.36/470,009.32 = 197,429.44/x
  3. Step 3: Cross multiply
    340,586.36x = 470,009.32 × 197,429.44
  4. Step 4: Simplify right side
    340,586.36x = 92,793,676,842.38
  5. Step 5: Solve for x
    x = 92,793,676,842.38/340,586.36
  6. Step 6: Final answer
    x = 272,452.71

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1.5x scale

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.