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Finding the Fourth Proportional to 369,188.40, 509,480.16 and 199,422.48

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Solution

The fourth proportional to 369,188.40, 509,480.16 and 199,422.48 is: 275,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,188.40 : 509,480.16 = 199,422.48 : x
  2. Step 2: Convert to fraction form
    369,188.40/509,480.16 = 199,422.48/x
  3. Step 3: Cross multiply
    369,188.40x = 509,480.16 × 199,422.48
  4. Step 4: Simplify right side
    369,188.40x = 101,601,797,018.00
  5. Step 5: Solve for x
    x = 101,601,797,018.00/369,188.40
  6. Step 6: Final answer
    x = 275,203.11

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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.