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Finding the Fourth Proportional to 419,238, 628,861.86 and 103,697.64

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Solution

The fourth proportional to 419,238, 628,861.86 and 103,697.64 is: 155,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,238 : 628,861.86 = 103,697.64 : x
  2. Step 2: Convert to fraction form
    419,238/628,861.86 = 103,697.64/x
  3. Step 3: Cross multiply
    419,238x = 628,861.86 × 103,697.64
  4. Step 4: Simplify right side
    419,238x = 65,211,490,768.01
  5. Step 5: Solve for x
    x = 65,211,490,768.01/419,238
  6. Step 6: Final answer
    x = 155,547.66

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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.