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Finding the Fourth Proportional to 288,578.40, 432,867.60 and 182,290.20

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Solution

The fourth proportional to 288,578.40, 432,867.60 and 182,290.20 is: 273,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,578.40 : 432,867.60 = 182,290.20 : x
  2. Step 2: Convert to fraction form
    288,578.40/432,867.60 = 182,290.20/x
  3. Step 3: Cross multiply
    288,578.40x = 432,867.60 × 182,290.20
  4. Step 4: Simplify right side
    288,578.40x = 78,907,521,377.52
  5. Step 5: Solve for x
    x = 78,907,521,377.52/288,578.40
  6. Step 6: Final answer
    x = 273,435.30

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1.5x scale

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.