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Finding the Fourth Proportional to 419,376.80, 629,065.20 and 103,833.71

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Solution

The fourth proportional to 419,376.80, 629,065.20 and 103,833.71 is: 155,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,376.80 : 629,065.20 = 103,833.71 : x
  2. Step 2: Convert to fraction form
    419,376.80/629,065.20 = 103,833.71/x
  3. Step 3: Cross multiply
    419,376.80x = 629,065.20 × 103,833.71
  4. Step 4: Simplify right side
    419,376.80x = 65,318,173,547.89
  5. Step 5: Solve for x
    x = 65,318,173,547.89/419,376.80
  6. Step 6: Final answer
    x = 155,750.57

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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.