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Finding the Fourth Proportional to 419,916.96, 579,493.44 and 228,938.40

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Solution

The fourth proportional to 419,916.96, 579,493.44 and 228,938.40 is: 315,939.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,916.96 : 579,493.44 = 228,938.40 : x
  2. Step 2: Convert to fraction form
    419,916.96/579,493.44 = 228,938.40/x
  3. Step 3: Cross multiply
    419,916.96x = 579,493.44 × 228,938.40
  4. Step 4: Simplify right side
    419,916.96x = 132,668,300,964.10
  5. Step 5: Solve for x
    x = 132,668,300,964.10/419,916.96
  6. Step 6: Final answer
    x = 315,939.37

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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.