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Finding the Fourth Proportional to 295,077.78, 407,185.11 and 167,728.50

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Solution

The fourth proportional to 295,077.78, 407,185.11 and 167,728.50 is: 231,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,077.78 : 407,185.11 = 167,728.50 : x
  2. Step 2: Convert to fraction form
    295,077.78/407,185.11 = 167,728.50/x
  3. Step 3: Cross multiply
    295,077.78x = 407,185.11 × 167,728.50
  4. Step 4: Simplify right side
    295,077.78x = 68,296,547,722.64
  5. Step 5: Solve for x
    x = 68,296,547,722.64/295,077.78
  6. Step 6: Final answer
    x = 231,452.70

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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.