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Finding the Fourth Proportional to 499,832.80, 689,051.74 and 356,343.73

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Solution

The fourth proportional to 499,832.80, 689,051.74 and 356,343.73 is: 491,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,832.80 : 689,051.74 = 356,343.73 : x
  2. Step 2: Convert to fraction form
    499,832.80/689,051.74 = 356,343.73/x
  3. Step 3: Cross multiply
    499,832.80x = 689,051.74 × 356,343.73
  4. Step 4: Simplify right side
    499,832.80x = 245,539,267,194.59
  5. Step 5: Solve for x
    x = 245,539,267,194.59/499,832.80
  6. Step 6: Final answer
    x = 491,242.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.