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Finding the Fourth Proportional to 405,105.70, 559,051.71 and 223,821.82

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Solution

The fourth proportional to 405,105.70, 559,051.71 and 223,821.82 is: 308,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,105.70 : 559,051.71 = 223,821.82 : x
  2. Step 2: Convert to fraction form
    405,105.70/559,051.71 = 223,821.82/x
  3. Step 3: Cross multiply
    405,105.70x = 559,051.71 × 223,821.82
  4. Step 4: Simplify right side
    405,105.70x = 125,127,971,206.31
  5. Step 5: Solve for x
    x = 125,127,971,206.31/405,105.70
  6. Step 6: Final answer
    x = 308,877.34

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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.