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Finding the Fourth Proportional to 345,026, 517,604.37 and 120,450.56

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Solution

The fourth proportional to 345,026, 517,604.37 and 120,450.56 is: 180,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,026 : 517,604.37 = 120,450.56 : x
  2. Step 2: Convert to fraction form
    345,026/517,604.37 = 120,450.56/x
  3. Step 3: Cross multiply
    345,026x = 517,604.37 × 120,450.56
  4. Step 4: Simplify right side
    345,026x = 62,345,736,224.95
  5. Step 5: Solve for x
    x = 62,345,736,224.95/345,026
  6. Step 6: Final answer
    x = 180,698.66

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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.