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Finding the Fourth Proportional to 303,222.48, 418,457.10 and 165,408.96

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Solution

The fourth proportional to 303,222.48, 418,457.10 and 165,408.96 is: 228,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,222.48 : 418,457.10 = 165,408.96 : x
  2. Step 2: Convert to fraction form
    303,222.48/418,457.10 = 165,408.96/x
  3. Step 3: Cross multiply
    303,222.48x = 418,457.10 × 165,408.96
  4. Step 4: Simplify right side
    303,222.48x = 69,216,553,715.62
  5. Step 5: Solve for x
    x = 69,216,553,715.62/303,222.48
  6. Step 6: Final answer
    x = 228,269.86

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1.5x scale

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.