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Finding the Fourth Proportional to 524,033.80, 722,434.38 and 443,136.76

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Solution

The fourth proportional to 524,033.80, 722,434.38 and 443,136.76 is: 610,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,033.80 : 722,434.38 = 443,136.76 : x
  2. Step 2: Convert to fraction form
    524,033.80/722,434.38 = 443,136.76/x
  3. Step 3: Cross multiply
    524,033.80x = 722,434.38 × 443,136.76
  4. Step 4: Simplify right side
    524,033.80x = 320,137,230,465.81
  5. Step 5: Solve for x
    x = 320,137,230,465.81/524,033.80
  6. Step 6: Final answer
    x = 610,909.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.