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Finding the Fourth Proportional to 405,859.20, 608,788.80 and 195,907.20

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Solution

The fourth proportional to 405,859.20, 608,788.80 and 195,907.20 is: 293,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,859.20 : 608,788.80 = 195,907.20 : x
  2. Step 2: Convert to fraction form
    405,859.20/608,788.80 = 195,907.20/x
  3. Step 3: Cross multiply
    405,859.20x = 608,788.80 × 195,907.20
  4. Step 4: Simplify right side
    405,859.20x = 119,266,109,199.36
  5. Step 5: Solve for x
    x = 119,266,109,199.36/405,859.20
  6. Step 6: Final answer
    x = 293,860.80

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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.