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Finding the Fourth Proportional to 687,591.05, 948,774.48 and 381,669.77

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Solution

The fourth proportional to 687,591.05, 948,774.48 and 381,669.77 is: 526,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,591.05 : 948,774.48 = 381,669.77 : x
  2. Step 2: Convert to fraction form
    687,591.05/948,774.48 = 381,669.77/x
  3. Step 3: Cross multiply
    687,591.05x = 948,774.48 × 381,669.77
  4. Step 4: Simplify right side
    687,591.05x = 362,118,532,819.60
  5. Step 5: Solve for x
    x = 362,118,532,819.60/687,591.05
  6. Step 6: Final answer
    x = 526,648.12

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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.