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Finding the Fourth Proportional to 405,456.36, 608,283.72 and 285,746.88

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Solution

The fourth proportional to 405,456.36, 608,283.72 and 285,746.88 is: 428,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,456.36 : 608,283.72 = 285,746.88 : x
  2. Step 2: Convert to fraction form
    405,456.36/608,283.72 = 285,746.88/x
  3. Step 3: Cross multiply
    405,456.36x = 608,283.72 × 285,746.88
  4. Step 4: Simplify right side
    405,456.36x = 173,815,175,144.79
  5. Step 5: Solve for x
    x = 173,815,175,144.79/405,456.36
  6. Step 6: Final answer
    x = 428,690.22

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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.