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Finding the Fourth Proportional to 260,148.78, 358,997.67 and 145,427.67

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Solution

The fourth proportional to 260,148.78, 358,997.67 and 145,427.67 is: 200,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,148.78 : 358,997.67 = 145,427.67 : x
  2. Step 2: Convert to fraction form
    260,148.78/358,997.67 = 145,427.67/x
  3. Step 3: Cross multiply
    260,148.78x = 358,997.67 × 145,427.67
  4. Step 4: Simplify right side
    260,148.78x = 52,208,194,683.53
  5. Step 5: Solve for x
    x = 52,208,194,683.53/260,148.78
  6. Step 6: Final answer
    x = 200,685.91

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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.