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Finding the Fourth Proportional to 524,642.70, 787,756.05 and 419,148.30

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Solution

The fourth proportional to 524,642.70, 787,756.05 and 419,148.30 is: 629,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,642.70 : 787,756.05 = 419,148.30 : x
  2. Step 2: Convert to fraction form
    524,642.70/787,756.05 = 419,148.30/x
  3. Step 3: Cross multiply
    524,642.70x = 787,756.05 × 419,148.30
  4. Step 4: Simplify right side
    524,642.70x = 330,186,609,172.22
  5. Step 5: Solve for x
    x = 330,186,609,172.22/524,642.70
  6. Step 6: Final answer
    x = 629,355.20

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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.