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Finding the Fourth Proportional to 405,312.88, 559,333.96 and 221,551.68

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Solution

The fourth proportional to 405,312.88, 559,333.96 and 221,551.68 is: 305,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,312.88 : 559,333.96 = 221,551.68 : x
  2. Step 2: Convert to fraction form
    405,312.88/559,333.96 = 221,551.68/x
  3. Step 3: Cross multiply
    405,312.88x = 559,333.96 × 221,551.68
  4. Step 4: Simplify right side
    405,312.88x = 123,921,378,519.05
  5. Step 5: Solve for x
    x = 123,921,378,519.05/405,312.88
  6. Step 6: Final answer
    x = 305,742.51

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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.