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Finding the Fourth Proportional to 524,672.40, 787,008.60 and 419,696.40

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Solution

The fourth proportional to 524,672.40, 787,008.60 and 419,696.40 is: 629,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,672.40 : 787,008.60 = 419,696.40 : x
  2. Step 2: Convert to fraction form
    524,672.40/787,008.60 = 419,696.40/x
  3. Step 3: Cross multiply
    524,672.40x = 787,008.60 × 419,696.40
  4. Step 4: Simplify right side
    524,672.40x = 330,304,676,189.04
  5. Step 5: Solve for x
    x = 330,304,676,189.04/524,672.40
  6. Step 6: Final answer
    x = 629,544.60

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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.