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Finding the Fourth Proportional to 419,742.03, 629,607.19 and 239,442.68

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Solution

The fourth proportional to 419,742.03, 629,607.19 and 239,442.68 is: 359,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,742.03 : 629,607.19 = 239,442.68 : x
  2. Step 2: Convert to fraction form
    419,742.03/629,607.19 = 239,442.68/x
  3. Step 3: Cross multiply
    419,742.03x = 629,607.19 × 239,442.68
  4. Step 4: Simplify right side
    419,742.03x = 150,754,832,574.47
  5. Step 5: Solve for x
    x = 150,754,832,574.47/419,742.03
  6. Step 6: Final answer
    x = 359,160.68

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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.