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Finding the Fourth Proportional to 419,343, 629,019.36 and 103,802.64

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Solution

The fourth proportional to 419,343, 629,019.36 and 103,802.64 is: 155,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,343 : 629,019.36 = 103,802.64 : x
  2. Step 2: Convert to fraction form
    419,343/629,019.36 = 103,802.64/x
  3. Step 3: Cross multiply
    419,343x = 629,019.36 × 103,802.64
  4. Step 4: Simplify right side
    419,343x = 65,293,870,179.11
  5. Step 5: Solve for x
    x = 65,293,870,179.11/419,343
  6. Step 6: Final answer
    x = 155,705.16

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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.