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Finding the Fourth Proportional to 289,923.64, 434,528.52 and 138,200.52

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Solution

The fourth proportional to 289,923.64, 434,528.52 and 138,200.52 is: 207,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,923.64 : 434,528.52 = 138,200.52 : x
  2. Step 2: Convert to fraction form
    289,923.64/434,528.52 = 138,200.52/x
  3. Step 3: Cross multiply
    289,923.64x = 434,528.52 × 138,200.52
  4. Step 4: Simplify right side
    289,923.64x = 60,052,067,418.83
  5. Step 5: Solve for x
    x = 60,052,067,418.83/289,923.64
  6. Step 6: Final answer
    x = 207,130.63

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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.