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Finding the Fourth Proportional to 405,346.85, 559,359.33 and 221,594.90

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Solution

The fourth proportional to 405,346.85, 559,359.33 and 221,594.90 is: 305,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.85 : 559,359.33 = 221,594.90 : x
  2. Step 2: Convert to fraction form
    405,346.85/559,359.33 = 221,594.90/x
  3. Step 3: Cross multiply
    405,346.85x = 559,359.33 × 221,594.90
  4. Step 4: Simplify right side
    405,346.85x = 123,951,175,362.83
  5. Step 5: Solve for x
    x = 123,951,175,362.83/405,346.85
  6. Step 6: Final answer
    x = 305,790.40

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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.