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Finding the Fourth Proportional to 288,694.63, 433,222.37 and 138,950.74

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Solution

The fourth proportional to 288,694.63, 433,222.37 and 138,950.74 is: 208,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.63 : 433,222.37 = 138,950.74 : x
  2. Step 2: Convert to fraction form
    288,694.63/433,222.37 = 138,950.74/x
  3. Step 3: Cross multiply
    288,694.63x = 433,222.37 × 138,950.74
  4. Step 4: Simplify right side
    288,694.63x = 60,196,566,035.19
  5. Step 5: Solve for x
    x = 60,196,566,035.19/288,694.63
  6. Step 6: Final answer
    x = 208,512.94

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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.