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Finding the Fourth Proportional to 687,624.82, 948,874.78 and 381,677.11

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Solution

The fourth proportional to 687,624.82, 948,874.78 and 381,677.11 is: 526,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,624.82 : 948,874.78 = 381,677.11 : x
  2. Step 2: Convert to fraction form
    687,624.82/948,874.78 = 381,677.11/x
  3. Step 3: Cross multiply
    687,624.82x = 948,874.78 × 381,677.11
  4. Step 4: Simplify right side
    687,624.82x = 362,163,786,151.15
  5. Step 5: Solve for x
    x = 362,163,786,151.15/687,624.82
  6. Step 6: Final answer
    x = 526,688.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.