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Finding the Fourth Proportional to 419,530.24, 629,283.84 and 103,980.16

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Solution

The fourth proportional to 419,530.24, 629,283.84 and 103,980.16 is: 155,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,530.24 : 629,283.84 = 103,980.16 : x
  2. Step 2: Convert to fraction form
    419,530.24/629,283.84 = 103,980.16/x
  3. Step 3: Cross multiply
    419,530.24x = 629,283.84 × 103,980.16
  4. Step 4: Simplify right side
    419,530.24x = 65,433,034,368.61
  5. Step 5: Solve for x
    x = 65,433,034,368.61/419,530.24
  6. Step 6: Final answer
    x = 155,967.38

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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.