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Finding the Fourth Proportional to 505,556.56, 697,802.52 and 314,461.36

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Solution

The fourth proportional to 505,556.56, 697,802.52 and 314,461.36 is: 434,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,556.56 : 697,802.52 = 314,461.36 : x
  2. Step 2: Convert to fraction form
    505,556.56/697,802.52 = 314,461.36/x
  3. Step 3: Cross multiply
    505,556.56x = 697,802.52 × 314,461.36
  4. Step 4: Simplify right side
    505,556.56x = 219,431,929,450.63
  5. Step 5: Solve for x
    x = 219,431,929,450.63/505,556.56
  6. Step 6: Final answer
    x = 434,040.32

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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.