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Finding the Fourth Proportional to 455,056, 682,052.50 and 342,374.20

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Solution

The fourth proportional to 455,056, 682,052.50 and 342,374.20 is: 513,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,056 : 682,052.50 = 342,374.20 : x
  2. Step 2: Convert to fraction form
    455,056/682,052.50 = 342,374.20/x
  3. Step 3: Cross multiply
    455,056x = 682,052.50 × 342,374.20
  4. Step 4: Simplify right side
    455,056x = 233,517,179,045.50
  5. Step 5: Solve for x
    x = 233,517,179,045.50/455,056
  6. Step 6: Final answer
    x = 513,161.41

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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.