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Finding the Fourth Proportional to 399,616.94, 598,908.74 and 298,987.61

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Solution

The fourth proportional to 399,616.94, 598,908.74 and 298,987.61 is: 448,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,616.94 : 598,908.74 = 298,987.61 : x
  2. Step 2: Convert to fraction form
    399,616.94/598,908.74 = 298,987.61/x
  3. Step 3: Cross multiply
    399,616.94x = 598,908.74 × 298,987.61
  4. Step 4: Simplify right side
    399,616.94x = 179,066,288,291.23
  5. Step 5: Solve for x
    x = 179,066,288,291.23/399,616.94
  6. Step 6: Final answer
    x = 448,094.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.