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Finding the Fourth Proportional to 419,538.60, 629,399.04 and 153,298.71

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Solution

The fourth proportional to 419,538.60, 629,399.04 and 153,298.71 is: 229,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,538.60 : 629,399.04 = 153,298.71 : x
  2. Step 2: Convert to fraction form
    419,538.60/629,399.04 = 153,298.71/x
  3. Step 3: Cross multiply
    419,538.60x = 629,399.04 × 153,298.71
  4. Step 4: Simplify right side
    419,538.60x = 96,486,060,907.24
  5. Step 5: Solve for x
    x = 96,486,060,907.24/419,538.60
  6. Step 6: Final answer
    x = 229,981.37

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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.