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Finding the Fourth Proportional to 286,491.26, 395,334.76 and 165,640.30

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Solution

The fourth proportional to 286,491.26, 395,334.76 and 165,640.30 is: 228,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,491.26 : 395,334.76 = 165,640.30 : x
  2. Step 2: Convert to fraction form
    286,491.26/395,334.76 = 165,640.30/x
  3. Step 3: Cross multiply
    286,491.26x = 395,334.76 × 165,640.30
  4. Step 4: Simplify right side
    286,491.26x = 65,483,368,246.83
  5. Step 5: Solve for x
    x = 65,483,368,246.83/286,491.26
  6. Step 6: Final answer
    x = 228,570.21

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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.