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Finding the Fourth Proportional to 458,009.40, 686,882.58 and 154,370.28

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Solution

The fourth proportional to 458,009.40, 686,882.58 and 154,370.28 is: 231,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,009.40 : 686,882.58 = 154,370.28 : x
  2. Step 2: Convert to fraction form
    458,009.40/686,882.58 = 154,370.28/x
  3. Step 3: Cross multiply
    458,009.40x = 686,882.58 × 154,370.28
  4. Step 4: Simplify right side
    458,009.40x = 106,034,256,201.72
  5. Step 5: Solve for x
    x = 106,034,256,201.72/458,009.40
  6. Step 6: Final answer
    x = 231,511.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.