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Finding the Fourth Proportional to 419,720.66, 629,350.14 and 286,751.06

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Solution

The fourth proportional to 419,720.66, 629,350.14 and 286,751.06 is: 429,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,720.66 : 629,350.14 = 286,751.06 : x
  2. Step 2: Convert to fraction form
    419,720.66/629,350.14 = 286,751.06/x
  3. Step 3: Cross multiply
    419,720.66x = 629,350.14 × 286,751.06
  4. Step 4: Simplify right side
    419,720.66x = 180,466,819,756.15
  5. Step 5: Solve for x
    x = 180,466,819,756.15/419,720.66
  6. Step 6: Final answer
    x = 429,968.87

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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.