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Finding the Fourth Proportional to 278,094.16, 383,741.22 and 170,668.72

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Solution

The fourth proportional to 278,094.16, 383,741.22 and 170,668.72 is: 235,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,094.16 : 383,741.22 = 170,668.72 : x
  2. Step 2: Convert to fraction form
    278,094.16/383,741.22 = 170,668.72/x
  3. Step 3: Cross multiply
    278,094.16x = 383,741.22 × 170,668.72
  4. Step 4: Simplify right side
    278,094.16x = 65,492,622,828.64
  5. Step 5: Solve for x
    x = 65,492,622,828.64/278,094.16
  6. Step 6: Final answer
    x = 235,505.21

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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.