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Finding the Fourth Proportional to 405,112.32, 559,007.34 and 223,813.44

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Solution

The fourth proportional to 405,112.32, 559,007.34 and 223,813.44 is: 308,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,112.32 : 559,007.34 = 223,813.44 : x
  2. Step 2: Convert to fraction form
    405,112.32/559,007.34 = 223,813.44/x
  3. Step 3: Cross multiply
    405,112.32x = 559,007.34 × 223,813.44
  4. Step 4: Simplify right side
    405,112.32x = 125,113,355,750.65
  5. Step 5: Solve for x
    x = 125,113,355,750.65/405,112.32
  6. Step 6: Final answer
    x = 308,836.22

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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.