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Finding the Fourth Proportional to 405,144.01, 559,050.12 and 223,844.77

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Solution

The fourth proportional to 405,144.01, 559,050.12 and 223,844.77 is: 308,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,144.01 : 559,050.12 = 223,844.77 : x
  2. Step 2: Convert to fraction form
    405,144.01/559,050.12 = 223,844.77/x
  3. Step 3: Cross multiply
    405,144.01x = 559,050.12 × 223,844.77
  4. Step 4: Simplify right side
    405,144.01x = 125,140,444,410.65
  5. Step 5: Solve for x
    x = 125,140,444,410.65/405,144.01
  6. Step 6: Final answer
    x = 308,878.92

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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.