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Finding the Fourth Proportional to 514,004.10, 770,921.10 and 172,443.30

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Solution

The fourth proportional to 514,004.10, 770,921.10 and 172,443.30 is: 258,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,004.10 : 770,921.10 = 172,443.30 : x
  2. Step 2: Convert to fraction form
    514,004.10/770,921.10 = 172,443.30/x
  3. Step 3: Cross multiply
    514,004.10x = 770,921.10 × 172,443.30
  4. Step 4: Simplify right side
    514,004.10x = 132,940,178,523.63
  5. Step 5: Solve for x
    x = 132,940,178,523.63/514,004.10
  6. Step 6: Final answer
    x = 258,636.42

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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.