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Finding the Fourth Proportional to 405,290.76, 559,283.85 and 223,993.32

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Solution

The fourth proportional to 405,290.76, 559,283.85 and 223,993.32 is: 309,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,290.76 : 559,283.85 = 223,993.32 : x
  2. Step 2: Convert to fraction form
    405,290.76/559,283.85 = 223,993.32/x
  3. Step 3: Cross multiply
    405,290.76x = 559,283.85 × 223,993.32
  4. Step 4: Simplify right side
    405,290.76x = 125,275,846,383.88
  5. Step 5: Solve for x
    x = 125,275,846,383.88/405,290.76
  6. Step 6: Final answer
    x = 309,101.17

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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.