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Finding the Fourth Proportional to 419,667.29, 629,656.80 and 291,516.05

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Solution

The fourth proportional to 419,667.29, 629,656.80 and 291,516.05 is: 437,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,667.29 : 629,656.80 = 291,516.05 : x
  2. Step 2: Convert to fraction form
    419,667.29/629,656.80 = 291,516.05/x
  3. Step 3: Cross multiply
    419,667.29x = 629,656.80 × 291,516.05
  4. Step 4: Simplify right side
    419,667.29x = 183,555,060,130.78
  5. Step 5: Solve for x
    x = 183,555,060,130.78/419,667.29
  6. Step 6: Final answer
    x = 437,382.34

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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.