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Finding the Fourth Proportional to 509,004.72, 763,380.92 and 172,037.89

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Solution

The fourth proportional to 509,004.72, 763,380.92 and 172,037.89 is: 258,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,004.72 : 763,380.92 = 172,037.89 : x
  2. Step 2: Convert to fraction form
    509,004.72/763,380.92 = 172,037.89/x
  3. Step 3: Cross multiply
    509,004.72x = 763,380.92 × 172,037.89
  4. Step 4: Simplify right side
    509,004.72x = 131,330,444,127.38
  5. Step 5: Solve for x
    x = 131,330,444,127.38/509,004.72
  6. Step 6: Final answer
    x = 258,014.20

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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.