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Finding the Fourth Proportional to 369,196.36, 509,491.20 and 199,430.56

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Solution

The fourth proportional to 369,196.36, 509,491.20 and 199,430.56 is: 275,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,196.36 : 509,491.20 = 199,430.56 : x
  2. Step 2: Convert to fraction form
    369,196.36/509,491.20 = 199,430.56/x
  3. Step 3: Cross multiply
    369,196.36x = 509,491.20 × 199,430.56
  4. Step 4: Simplify right side
    369,196.36x = 101,608,115,331.07
  5. Step 5: Solve for x
    x = 101,608,115,331.07/369,196.36
  6. Step 6: Final answer
    x = 275,214.29

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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.