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Finding the Fourth Proportional to 248,400, 342,878.40 and 147,795.84

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Solution

The fourth proportional to 248,400, 342,878.40 and 147,795.84 is: 204,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,400 : 342,878.40 = 147,795.84 : x
  2. Step 2: Convert to fraction form
    248,400/342,878.40 = 147,795.84/x
  3. Step 3: Cross multiply
    248,400x = 342,878.40 × 147,795.84
  4. Step 4: Simplify right side
    248,400x = 50,676,001,145.86
  5. Step 5: Solve for x
    x = 50,676,001,145.86/248,400
  6. Step 6: Final answer
    x = 204,009.67

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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.