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Finding the Fourth Proportional to 377,082.96, 520,361.19 and 207,315.78

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Solution

The fourth proportional to 377,082.96, 520,361.19 and 207,315.78 is: 286,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,082.96 : 520,361.19 = 207,315.78 : x
  2. Step 2: Convert to fraction form
    377,082.96/520,361.19 = 207,315.78/x
  3. Step 3: Cross multiply
    377,082.96x = 520,361.19 × 207,315.78
  4. Step 4: Simplify right side
    377,082.96x = 107,879,085,986.58
  5. Step 5: Solve for x
    x = 107,879,085,986.58/377,082.96
  6. Step 6: Final answer
    x = 286,088.47

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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.