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Finding the Fourth Proportional to 342,161.32, 513,208.96 and 105,440.44

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Solution

The fourth proportional to 342,161.32, 513,208.96 and 105,440.44 is: 158,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,161.32 : 513,208.96 = 105,440.44 : x
  2. Step 2: Convert to fraction form
    342,161.32/513,208.96 = 105,440.44/x
  3. Step 3: Cross multiply
    342,161.32x = 513,208.96 × 105,440.44
  4. Step 4: Simplify right side
    342,161.32x = 54,112,978,554.34
  5. Step 5: Solve for x
    x = 54,112,978,554.34/342,161.32
  6. Step 6: Final answer
    x = 158,150.48

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1.5x scale

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.