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Finding the Fourth Proportional to 299,057.40, 448,078.30 and 180,479.64

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Solution

The fourth proportional to 299,057.40, 448,078.30 and 180,479.64 is: 270,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,057.40 : 448,078.30 = 180,479.64 : x
  2. Step 2: Convert to fraction form
    299,057.40/448,078.30 = 180,479.64/x
  3. Step 3: Cross multiply
    299,057.40x = 448,078.30 × 180,479.64
  4. Step 4: Simplify right side
    299,057.40x = 80,869,010,275.81
  5. Step 5: Solve for x
    x = 80,869,010,275.81/299,057.40
  6. Step 6: Final answer
    x = 270,413.01

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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.