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Finding the Fourth Proportional to 418,961.48, 628,433.72 and 103,421.12

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Solution

The fourth proportional to 418,961.48, 628,433.72 and 103,421.12 is: 155,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,961.48 : 628,433.72 = 103,421.12 : x
  2. Step 2: Convert to fraction form
    418,961.48/628,433.72 = 103,421.12/x
  3. Step 3: Cross multiply
    418,961.48x = 628,433.72 × 103,421.12
  4. Step 4: Simplify right side
    418,961.48x = 64,993,318,651.06
  5. Step 5: Solve for x
    x = 64,993,318,651.06/418,961.48
  6. Step 6: Final answer
    x = 155,129.58

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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.