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Finding the Fourth Proportional to 342,396.45, 513,316.30 and 142,865.46

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Solution

The fourth proportional to 342,396.45, 513,316.30 and 142,865.46 is: 214,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,396.45 : 513,316.30 = 142,865.46 : x
  2. Step 2: Convert to fraction form
    342,396.45/513,316.30 = 142,865.46/x
  3. Step 3: Cross multiply
    342,396.45x = 513,316.30 × 142,865.46
  4. Step 4: Simplify right side
    342,396.45x = 73,335,169,325.00
  5. Step 5: Solve for x
    x = 73,335,169,325.00/342,396.45
  6. Step 6: Final answer
    x = 214,182.04

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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.