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Finding the Fourth Proportional to 288,980.70, 433,471.05 and 200,334.30

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Solution

The fourth proportional to 288,980.70, 433,471.05 and 200,334.30 is: 300,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,980.70 : 433,471.05 = 200,334.30 : x
  2. Step 2: Convert to fraction form
    288,980.70/433,471.05 = 200,334.30/x
  3. Step 3: Cross multiply
    288,980.70x = 433,471.05 × 200,334.30
  4. Step 4: Simplify right side
    288,980.70x = 86,839,119,372.02
  5. Step 5: Solve for x
    x = 86,839,119,372.02/288,980.70
  6. Step 6: Final answer
    x = 300,501.45

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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.