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Finding the Fourth Proportional to 419,568.10, 579,002.25 and 228,580.90

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Solution

The fourth proportional to 419,568.10, 579,002.25 and 228,580.90 is: 315,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,568.10 : 579,002.25 = 228,580.90 : x
  2. Step 2: Convert to fraction form
    419,568.10/579,002.25 = 228,580.90/x
  3. Step 3: Cross multiply
    419,568.10x = 579,002.25 × 228,580.90
  4. Step 4: Simplify right side
    419,568.10x = 132,348,855,407.03
  5. Step 5: Solve for x
    x = 132,348,855,407.03/419,568.10
  6. Step 6: Final answer
    x = 315,440.70

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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.