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Finding the Fourth Proportional to 289,220.73, 433,729.49 and 86,756.47

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Solution

The fourth proportional to 289,220.73, 433,729.49 and 86,756.47 is: 130,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,220.73 : 433,729.49 = 86,756.47 : x
  2. Step 2: Convert to fraction form
    289,220.73/433,729.49 = 86,756.47/x
  3. Step 3: Cross multiply
    289,220.73x = 433,729.49 × 86,756.47
  4. Step 4: Simplify right side
    289,220.73x = 37,628,837,969.19
  5. Step 5: Solve for x
    x = 37,628,837,969.19/289,220.73
  6. Step 6: Final answer
    x = 130,104.22

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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.