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Finding the Fourth Proportional to 369,199.75, 509,495.94 and 199,433.89

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Solution

The fourth proportional to 369,199.75, 509,495.94 and 199,433.89 is: 275,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,199.75 : 509,495.94 = 199,433.89 : x
  2. Step 2: Convert to fraction form
    369,199.75/509,495.94 = 199,433.89/x
  3. Step 3: Cross multiply
    369,199.75x = 509,495.94 × 199,433.89
  4. Step 4: Simplify right side
    369,199.75x = 101,610,757,253.41
  5. Step 5: Solve for x
    x = 101,610,757,253.41/369,199.75
  6. Step 6: Final answer
    x = 275,218.92

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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.