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Finding the Fourth Proportional to 509,381.82, 763,597.62 and 172,188

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Solution

The fourth proportional to 509,381.82, 763,597.62 and 172,188 is: 258,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,381.82 : 763,597.62 = 172,188 : x
  2. Step 2: Convert to fraction form
    509,381.82/763,597.62 = 172,188/x
  3. Step 3: Cross multiply
    509,381.82x = 763,597.62 × 172,188
  4. Step 4: Simplify right side
    509,381.82x = 131,482,346,992.56
  5. Step 5: Solve for x
    x = 131,482,346,992.56/509,381.82
  6. Step 6: Final answer
    x = 258,121.40

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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.