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Finding the Fourth Proportional to 288,004.68, 431,969.06 and 85,596.47

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Solution

The fourth proportional to 288,004.68, 431,969.06 and 85,596.47 is: 128,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.68 : 431,969.06 = 85,596.47 : x
  2. Step 2: Convert to fraction form
    288,004.68/431,969.06 = 85,596.47/x
  3. Step 3: Cross multiply
    288,004.68x = 431,969.06 × 85,596.47
  4. Step 4: Simplify right side
    288,004.68x = 36,975,025,067.83
  5. Step 5: Solve for x
    x = 36,975,025,067.83/288,004.68
  6. Step 6: Final answer
    x = 128,383.42

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1.5x scale

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.