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Finding the Fourth Proportional to 418,863.08, 628,386.78 and 197,494.76

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Solution

The fourth proportional to 418,863.08, 628,386.78 and 197,494.76 is: 296,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,863.08 : 628,386.78 = 197,494.76 : x
  2. Step 2: Convert to fraction form
    418,863.08/628,386.78 = 197,494.76/x
  3. Step 3: Cross multiply
    418,863.08x = 628,386.78 × 197,494.76
  4. Step 4: Simplify right side
    418,863.08x = 124,103,096,303.27
  5. Step 5: Solve for x
    x = 124,103,096,303.27/418,863.08
  6. Step 6: Final answer
    x = 296,285.59

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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.