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Finding the Fourth Proportional to 288,370.69, 431,952.86 and 231,905.05

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Solution

The fourth proportional to 288,370.69, 431,952.86 and 231,905.05 is: 347,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,370.69 : 431,952.86 = 231,905.05 : x
  2. Step 2: Convert to fraction form
    288,370.69/431,952.86 = 231,905.05/x
  3. Step 3: Cross multiply
    288,370.69x = 431,952.86 × 231,905.05
  4. Step 4: Simplify right side
    288,370.69x = 100,172,048,436.42
  5. Step 5: Solve for x
    x = 100,172,048,436.42/288,370.69
  6. Step 6: Final answer
    x = 347,372.50

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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.