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Finding the Fourth Proportional to 419,658, 629,038.74 and 239,355.18

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Solution

The fourth proportional to 419,658, 629,038.74 and 239,355.18 is: 358,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,658 : 629,038.74 = 239,355.18 : x
  2. Step 2: Convert to fraction form
    419,658/629,038.74 = 239,355.18/x
  3. Step 3: Cross multiply
    419,658x = 629,038.74 × 239,355.18
  4. Step 4: Simplify right side
    419,658x = 150,563,680,839.67
  5. Step 5: Solve for x
    x = 150,563,680,839.67/419,658
  6. Step 6: Final answer
    x = 358,777.10

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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.