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Finding the Fourth Proportional to 308,529.44, 461,514.56 and 289,633.76

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Solution

The fourth proportional to 308,529.44, 461,514.56 and 289,633.76 is: 433,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,529.44 : 461,514.56 = 289,633.76 : x
  2. Step 2: Convert to fraction form
    308,529.44/461,514.56 = 289,633.76/x
  3. Step 3: Cross multiply
    308,529.44x = 461,514.56 × 289,633.76
  4. Step 4: Simplify right side
    308,529.44x = 133,670,197,307.55
  5. Step 5: Solve for x
    x = 133,670,197,307.55/308,529.44
  6. Step 6: Final answer
    x = 433,249.41

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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.