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Finding the Fourth Proportional to 377,454.50, 520,715.56 and 224,405.84

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Solution

The fourth proportional to 377,454.50, 520,715.56 and 224,405.84 is: 309,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,454.50 : 520,715.56 = 224,405.84 : x
  2. Step 2: Convert to fraction form
    377,454.50/520,715.56 = 224,405.84/x
  3. Step 3: Cross multiply
    377,454.50x = 520,715.56 × 224,405.84
  4. Step 4: Simplify right side
    377,454.50x = 116,851,612,642.87
  5. Step 5: Solve for x
    x = 116,851,612,642.87/377,454.50
  6. Step 6: Final answer
    x = 309,578.01

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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.