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Finding the Fourth Proportional to 295,657.57, 443,494.55 and 85,295.50

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Solution

The fourth proportional to 295,657.57, 443,494.55 and 85,295.50 is: 127,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,657.57 : 443,494.55 = 85,295.50 : x
  2. Step 2: Convert to fraction form
    295,657.57/443,494.55 = 85,295.50/x
  3. Step 3: Cross multiply
    295,657.57x = 443,494.55 × 85,295.50
  4. Step 4: Simplify right side
    295,657.57x = 37,828,089,389.53
  5. Step 5: Solve for x
    x = 37,828,089,389.53/295,657.57
  6. Step 6: Final answer
    x = 127,945.61

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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.