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Finding the Fourth Proportional to 509,383.82, 763,600.62 and 172,190

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Solution

The fourth proportional to 509,383.82, 763,600.62 and 172,190 is: 258,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,383.82 : 763,600.62 = 172,190 : x
  2. Step 2: Convert to fraction form
    509,383.82/763,600.62 = 172,190/x
  3. Step 3: Cross multiply
    509,383.82x = 763,600.62 × 172,190
  4. Step 4: Simplify right side
    509,383.82x = 131,484,390,757.80
  5. Step 5: Solve for x
    x = 131,484,390,757.80/509,383.82
  6. Step 6: Final answer
    x = 258,124.40

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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.