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Finding the Fourth Proportional to 408,047.98, 562,512.74 and 285,158.83

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Solution

The fourth proportional to 408,047.98, 562,512.74 and 285,158.83 is: 393,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.98 : 562,512.74 = 285,158.83 : x
  2. Step 2: Convert to fraction form
    408,047.98/562,512.74 = 285,158.83/x
  3. Step 3: Cross multiply
    408,047.98x = 562,512.74 × 285,158.83
  4. Step 4: Simplify right side
    408,047.98x = 160,405,474,798.49
  5. Step 5: Solve for x
    x = 160,405,474,798.49/408,047.98
  6. Step 6: Final answer
    x = 393,104.45

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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.