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Finding the Fourth Proportional to 687,246, 948,814.20 and 449,196.72

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Solution

The fourth proportional to 687,246, 948,814.20 and 449,196.72 is: 620,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,246 : 948,814.20 = 449,196.72 : x
  2. Step 2: Convert to fraction form
    687,246/948,814.20 = 449,196.72/x
  3. Step 3: Cross multiply
    687,246x = 948,814.20 × 449,196.72
  4. Step 4: Simplify right side
    687,246x = 426,204,226,529.42
  5. Step 5: Solve for x
    x = 426,204,226,529.42/687,246
  6. Step 6: Final answer
    x = 620,162.54

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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.