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Finding the Fourth Proportional to 383,224.01, 575,082.05 and 257,006.79

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Solution

The fourth proportional to 383,224.01, 575,082.05 and 257,006.79 is: 385,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,224.01 : 575,082.05 = 257,006.79 : x
  2. Step 2: Convert to fraction form
    383,224.01/575,082.05 = 257,006.79/x
  3. Step 3: Cross multiply
    383,224.01x = 575,082.05 × 257,006.79
  4. Step 4: Simplify right side
    383,224.01x = 147,799,990,372.09
  5. Step 5: Solve for x
    x = 147,799,990,372.09/383,224.01
  6. Step 6: Final answer
    x = 385,675.19

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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.