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Finding the Fourth Proportional to 505,262.58, 697,237.88 and 287,450.74

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Solution

The fourth proportional to 505,262.58, 697,237.88 and 287,450.74 is: 396,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,262.58 : 697,237.88 = 287,450.74 : x
  2. Step 2: Convert to fraction form
    505,262.58/697,237.88 = 287,450.74/x
  3. Step 3: Cross multiply
    505,262.58x = 697,237.88 × 287,450.74
  4. Step 4: Simplify right side
    505,262.58x = 200,421,543,996.33
  5. Step 5: Solve for x
    x = 200,421,543,996.33/505,262.58
  6. Step 6: Final answer
    x = 396,668.10

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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.