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Finding the Fourth Proportional to 356,933.36, 535,449.42 and 120,343.70

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Solution

The fourth proportional to 356,933.36, 535,449.42 and 120,343.70 is: 180,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,933.36 : 535,449.42 = 120,343.70 : x
  2. Step 2: Convert to fraction form
    356,933.36/535,449.42 = 120,343.70/x
  3. Step 3: Cross multiply
    356,933.36x = 535,449.42 × 120,343.70
  4. Step 4: Simplify right side
    356,933.36x = 64,437,964,365.65
  5. Step 5: Solve for x
    x = 64,437,964,365.65/356,933.36
  6. Step 6: Final answer
    x = 180,532.20

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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.