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Finding the Fourth Proportional to 638,678.33, 956,461.24 and 422,405.30

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Solution

The fourth proportional to 638,678.33, 956,461.24 and 422,405.30 is: 632,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,678.33 : 956,461.24 = 422,405.30 : x
  2. Step 2: Convert to fraction form
    638,678.33/956,461.24 = 422,405.30/x
  3. Step 3: Cross multiply
    638,678.33x = 956,461.24 × 422,405.30
  4. Step 4: Simplify right side
    638,678.33x = 404,014,298,355.71
  5. Step 5: Solve for x
    x = 404,014,298,355.71/638,678.33
  6. Step 6: Final answer
    x = 632,578.68

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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.