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Finding the Fourth Proportional to 538,039.40, 807,836.70 and 405,847.40

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Solution

The fourth proportional to 538,039.40, 807,836.70 and 405,847.40 is: 609,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,039.40 : 807,836.70 = 405,847.40 : x
  2. Step 2: Convert to fraction form
    538,039.40/807,836.70 = 405,847.40/x
  3. Step 3: Cross multiply
    538,039.40x = 807,836.70 × 405,847.40
  4. Step 4: Simplify right side
    538,039.40x = 327,858,424,319.58
  5. Step 5: Solve for x
    x = 327,858,424,319.58/538,039.40
  6. Step 6: Final answer
    x = 609,357.65

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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.