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Finding the Fourth Proportional to 369,073.70, 509,321.74 and 199,307.83

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Solution

The fourth proportional to 369,073.70, 509,321.74 and 199,307.83 is: 275,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,073.70 : 509,321.74 = 199,307.83 : x
  2. Step 2: Convert to fraction form
    369,073.70/509,321.74 = 199,307.83/x
  3. Step 3: Cross multiply
    369,073.70x = 509,321.74 × 199,307.83
  4. Step 4: Simplify right side
    369,073.70x = 101,511,810,771.22
  5. Step 5: Solve for x
    x = 101,511,810,771.22/369,073.70
  6. Step 6: Final answer
    x = 275,044.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.