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Finding the Fourth Proportional to 405,081.19, 559,001.24 and 223,763.89

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Solution

The fourth proportional to 405,081.19, 559,001.24 and 223,763.89 is: 308,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081.19 : 559,001.24 = 223,763.89 : x
  2. Step 2: Convert to fraction form
    405,081.19/559,001.24 = 223,763.89/x
  3. Step 3: Cross multiply
    405,081.19x = 559,001.24 × 223,763.89
  4. Step 4: Simplify right side
    405,081.19x = 125,084,290,858.40
  5. Step 5: Solve for x
    x = 125,084,290,858.40/405,081.19
  6. Step 6: Final answer
    x = 308,788.20

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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.