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Finding the Fourth Proportional to 315,648.42, 435,751.93 and 194,856.29

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Solution

The fourth proportional to 315,648.42, 435,751.93 and 194,856.29 is: 268,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,648.42 : 435,751.93 = 194,856.29 : x
  2. Step 2: Convert to fraction form
    315,648.42/435,751.93 = 194,856.29/x
  3. Step 3: Cross multiply
    315,648.42x = 435,751.93 × 194,856.29
  4. Step 4: Simplify right side
    315,648.42x = 84,909,004,440.14
  5. Step 5: Solve for x
    x = 84,909,004,440.14/315,648.42
  6. Step 6: Final answer
    x = 268,998.67

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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.