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Finding the Fourth Proportional to 405,745.76, 559,919.04 and 224,467.76

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Solution

The fourth proportional to 405,745.76, 559,919.04 and 224,467.76 is: 309,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,745.76 : 559,919.04 = 224,467.76 : x
  2. Step 2: Convert to fraction form
    405,745.76/559,919.04 = 224,467.76/x
  3. Step 3: Cross multiply
    405,745.76x = 559,919.04 × 224,467.76
  4. Step 4: Simplify right side
    405,745.76x = 125,683,772,690.15
  5. Step 5: Solve for x
    x = 125,683,772,690.15/405,745.76
  6. Step 6: Final answer
    x = 309,759.92

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1.5x scale

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.