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Finding the Fourth Proportional to 399,607.74, 598,894.93 and 298,978.40

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Solution

The fourth proportional to 399,607.74, 598,894.93 and 298,978.40 is: 448,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,607.74 : 598,894.93 = 298,978.40 : x
  2. Step 2: Convert to fraction form
    399,607.74/598,894.93 = 298,978.40/x
  3. Step 3: Cross multiply
    399,607.74x = 598,894.93 × 298,978.40
  4. Step 4: Simplify right side
    399,607.74x = 179,056,647,939.51
  5. Step 5: Solve for x
    x = 179,056,647,939.51/399,607.74
  6. Step 6: Final answer
    x = 448,081.03

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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.