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Finding the Fourth Proportional to 340,576.21, 470,009.75 and 189,673.21

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Solution

The fourth proportional to 340,576.21, 470,009.75 and 189,673.21 is: 261,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,576.21 : 470,009.75 = 189,673.21 : x
  2. Step 2: Convert to fraction form
    340,576.21/470,009.75 = 189,673.21/x
  3. Step 3: Cross multiply
    340,576.21x = 470,009.75 × 189,673.21
  4. Step 4: Simplify right side
    340,576.21x = 89,148,258,013.80
  5. Step 5: Solve for x
    x = 89,148,258,013.80/340,576.21
  6. Step 6: Final answer
    x = 261,757.15

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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.