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Finding the Fourth Proportional to 289,310.40, 433,771.20 and 131,457.60

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Solution

The fourth proportional to 289,310.40, 433,771.20 and 131,457.60 is: 197,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,310.40 : 433,771.20 = 131,457.60 : x
  2. Step 2: Convert to fraction form
    289,310.40/433,771.20 = 131,457.60/x
  3. Step 3: Cross multiply
    289,310.40x = 433,771.20 × 131,457.60
  4. Step 4: Simplify right side
    289,310.40x = 57,022,520,901.12
  5. Step 5: Solve for x
    x = 57,022,520,901.12/289,310.40
  6. Step 6: Final answer
    x = 197,098.07

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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.