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Finding the Fourth Proportional to 419,282.17, 628,395.63 and 227,149.18

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Solution

The fourth proportional to 419,282.17, 628,395.63 and 227,149.18 is: 340,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,282.17 : 628,395.63 = 227,149.18 : x
  2. Step 2: Convert to fraction form
    419,282.17/628,395.63 = 227,149.18/x
  3. Step 3: Cross multiply
    419,282.17x = 628,395.63 × 227,149.18
  4. Step 4: Simplify right side
    419,282.17x = 142,739,552,070.08
  5. Step 5: Solve for x
    x = 142,739,552,070.08/419,282.17
  6. Step 6: Final answer
    x = 340,437.93

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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.