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Finding the Fourth Proportional to 309,733.96, 461,487.44 and 289,365.52

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Solution

The fourth proportional to 309,733.96, 461,487.44 and 289,365.52 is: 431,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,733.96 : 461,487.44 = 289,365.52 : x
  2. Step 2: Convert to fraction form
    309,733.96/461,487.44 = 289,365.52/x
  3. Step 3: Cross multiply
    309,733.96x = 461,487.44 × 289,365.52
  4. Step 4: Simplify right side
    309,733.96x = 133,538,553,049.07
  5. Step 5: Solve for x
    x = 133,538,553,049.07/309,733.96
  6. Step 6: Final answer
    x = 431,139.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.