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Finding the Fourth Proportional to 405,428.45, 559,442.61 and 224,115.80

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Solution

The fourth proportional to 405,428.45, 559,442.61 and 224,115.80 is: 309,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,428.45 : 559,442.61 = 224,115.80 : x
  2. Step 2: Convert to fraction form
    405,428.45/559,442.61 = 224,115.80/x
  3. Step 3: Cross multiply
    405,428.45x = 559,442.61 × 224,115.80
  4. Step 4: Simplify right side
    405,428.45x = 125,379,925,297.03
  5. Step 5: Solve for x
    x = 125,379,925,297.03/405,428.45
  6. Step 6: Final answer
    x = 309,252.91

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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.