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Finding the Fourth Proportional to 405,265.55, 559,268.31 and 221,507.90

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Solution

The fourth proportional to 405,265.55, 559,268.31 and 221,507.90 is: 305,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,265.55 : 559,268.31 = 221,507.90 : x
  2. Step 2: Convert to fraction form
    405,265.55/559,268.31 = 221,507.90/x
  3. Step 3: Cross multiply
    405,265.55x = 559,268.31 × 221,507.90
  4. Step 4: Simplify right side
    405,265.55x = 123,882,349,016.22
  5. Step 5: Solve for x
    x = 123,882,349,016.22/405,265.55
  6. Step 6: Final answer
    x = 305,681.92

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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.