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Finding the Fourth Proportional to 464,556.80, 697,272.60 and 287,409.80

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Solution

The fourth proportional to 464,556.80, 697,272.60 and 287,409.80 is: 431,385.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,556.80 : 697,272.60 = 287,409.80 : x
  2. Step 2: Convert to fraction form
    464,556.80/697,272.60 = 287,409.80/x
  3. Step 3: Cross multiply
    464,556.80x = 697,272.60 × 287,409.80
  4. Step 4: Simplify right side
    464,556.80x = 200,402,978,511.48
  5. Step 5: Solve for x
    x = 200,402,978,511.48/464,556.80
  6. Step 6: Final answer
    x = 431,385.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.