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Finding the Fourth Proportional to 369,649, 510,115.80 and 199,883.08

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Solution

The fourth proportional to 369,649, 510,115.80 and 199,883.08 is: 275,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,649 : 510,115.80 = 199,883.08 : x
  2. Step 2: Convert to fraction form
    369,649/510,115.80 = 199,883.08/x
  3. Step 3: Cross multiply
    369,649x = 510,115.80 × 199,883.08
  4. Step 4: Simplify right side
    369,649x = 101,963,517,260.66
  5. Step 5: Solve for x
    x = 101,963,517,260.66/369,649
  6. Step 6: Final answer
    x = 275,838.75

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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.