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Finding the Fourth Proportional to 405,396.32, 608,193.59 and 285,686.78

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Solution

The fourth proportional to 405,396.32, 608,193.59 and 285,686.78 is: 428,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,396.32 : 608,193.59 = 285,686.78 : x
  2. Step 2: Convert to fraction form
    405,396.32/608,193.59 = 285,686.78/x
  3. Step 3: Cross multiply
    405,396.32x = 608,193.59 × 285,686.78
  4. Step 4: Simplify right side
    405,396.32x = 173,752,863,874.34
  5. Step 5: Solve for x
    x = 173,752,863,874.34/405,396.32
  6. Step 6: Final answer
    x = 428,600.01

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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.