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Finding the Fourth Proportional to 289,086.69, 433,627.60 and 225,959.93

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Solution

The fourth proportional to 289,086.69, 433,627.60 and 225,959.93 is: 338,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,086.69 : 433,627.60 = 225,959.93 : x
  2. Step 2: Convert to fraction form
    289,086.69/433,627.60 = 225,959.93/x
  3. Step 3: Cross multiply
    289,086.69x = 433,627.60 × 225,959.93
  4. Step 4: Simplify right side
    289,086.69x = 97,982,462,142.07
  5. Step 5: Solve for x
    x = 97,982,462,142.07/289,086.69
  6. Step 6: Final answer
    x = 338,937.99

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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.