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Finding the Fourth Proportional to 715,905, 1,073,863.98 and 217,269

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Solution

The fourth proportional to 715,905, 1,073,863.98 and 217,269 is: 325,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,905 : 1,073,863.98 = 217,269 : x
  2. Step 2: Convert to fraction form
    715,905/1,073,863.98 = 217,269/x
  3. Step 3: Cross multiply
    715,905x = 1,073,863.98 × 217,269
  4. Step 4: Simplify right side
    715,905x = 233,317,353,070.62
  5. Step 5: Solve for x
    x = 233,317,353,070.62/715,905
  6. Step 6: Final answer
    x = 325,905.47

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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.