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Finding the Fourth Proportional to 369,175.21, 509,461.78 and 199,409.34

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Solution

The fourth proportional to 369,175.21, 509,461.78 and 199,409.34 is: 275,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,175.21 : 509,461.78 = 199,409.34 : x
  2. Step 2: Convert to fraction form
    369,175.21/509,461.78 = 199,409.34/x
  3. Step 3: Cross multiply
    369,175.21x = 509,461.78 × 199,409.34
  4. Step 4: Simplify right side
    369,175.21x = 101,591,437,305.03
  5. Step 5: Solve for x
    x = 101,591,437,305.03/369,175.21
  6. Step 6: Final answer
    x = 275,184.88

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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.