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Finding the Fourth Proportional to 376,021.56, 561,389.91 and 286,799.16

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Solution

The fourth proportional to 376,021.56, 561,389.91 and 286,799.16 is: 428,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,021.56 : 561,389.91 = 286,799.16 : x
  2. Step 2: Convert to fraction form
    376,021.56/561,389.91 = 286,799.16/x
  3. Step 3: Cross multiply
    376,021.56x = 561,389.91 × 286,799.16
  4. Step 4: Simplify right side
    376,021.56x = 161,006,154,620.48
  5. Step 5: Solve for x
    x = 161,006,154,620.48/376,021.56
  6. Step 6: Final answer
    x = 428,183.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.