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Finding the Fourth Proportional to 369,097.50, 509,354.52 and 199,331.60

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Solution

The fourth proportional to 369,097.50, 509,354.52 and 199,331.60 is: 275,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,097.50 : 509,354.52 = 199,331.60 : x
  2. Step 2: Convert to fraction form
    369,097.50/509,354.52 = 199,331.60/x
  3. Step 3: Cross multiply
    369,097.50x = 509,354.52 × 199,331.60
  4. Step 4: Simplify right side
    369,097.50x = 101,530,451,438.83
  5. Step 5: Solve for x
    x = 101,530,451,438.83/369,097.50
  6. Step 6: Final answer
    x = 275,077.59

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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.