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Finding the Fourth Proportional to 405,075.66, 559,015.69 and 223,799.28

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Solution

The fourth proportional to 405,075.66, 559,015.69 and 223,799.28 is: 308,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.66 : 559,015.69 = 223,799.28 : x
  2. Step 2: Convert to fraction form
    405,075.66/559,015.69 = 223,799.28/x
  3. Step 3: Cross multiply
    405,075.66x = 559,015.69 × 223,799.28
  4. Step 4: Simplify right side
    405,075.66x = 125,107,308,930.70
  5. Step 5: Solve for x
    x = 125,107,308,930.70/405,075.66
  6. Step 6: Final answer
    x = 308,849.24

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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.