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Finding the Fourth Proportional to 369,185.50, 509,476.19 and 199,419.63

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Solution

The fourth proportional to 369,185.50, 509,476.19 and 199,419.63 is: 275,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,185.50 : 509,476.19 = 199,419.63 : x
  2. Step 2: Convert to fraction form
    369,185.50/509,476.19 = 199,419.63/x
  3. Step 3: Cross multiply
    369,185.50x = 509,476.19 × 199,419.63
  4. Step 4: Simplify right side
    369,185.50x = 101,599,553,303.61
  5. Step 5: Solve for x
    x = 101,599,553,303.61/369,185.50
  6. Step 6: Final answer
    x = 275,199.20

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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.