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Finding the Fourth Proportional to 289,092.11, 433,453.17 and 139,033.53

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Solution

The fourth proportional to 289,092.11, 433,453.17 and 139,033.53 is: 208,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,092.11 : 433,453.17 = 139,033.53 : x
  2. Step 2: Convert to fraction form
    289,092.11/433,453.17 = 139,033.53/x
  3. Step 3: Cross multiply
    289,092.11x = 433,453.17 × 139,033.53
  4. Step 4: Simplify right side
    289,092.11x = 60,264,524,314.79
  5. Step 5: Solve for x
    x = 60,264,524,314.79/289,092.11
  6. Step 6: Final answer
    x = 208,461.33

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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.