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Finding the Fourth Proportional to 200,457.42, 300,468.78 and 100,376.34

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Solution

The fourth proportional to 200,457.42, 300,468.78 and 100,376.34 is: 150,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,457.42 : 300,468.78 = 100,376.34 : x
  2. Step 2: Convert to fraction form
    200,457.42/300,468.78 = 100,376.34/x
  3. Step 3: Cross multiply
    200,457.42x = 300,468.78 × 100,376.34
  4. Step 4: Simplify right side
    200,457.42x = 30,159,956,420.67
  5. Step 5: Solve for x
    x = 30,159,956,420.67/200,457.42
  6. Step 6: Final answer
    x = 150,455.67

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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.