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Finding the Fourth Proportional to 499,876.30, 689,847.60 and 285,014.08

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Solution

The fourth proportional to 499,876.30, 689,847.60 and 285,014.08 is: 393,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,876.30 : 689,847.60 = 285,014.08 : x
  2. Step 2: Convert to fraction form
    499,876.30/689,847.60 = 285,014.08/x
  3. Step 3: Cross multiply
    499,876.30x = 689,847.60 × 285,014.08
  4. Step 4: Simplify right side
    499,876.30x = 196,616,279,054.21
  5. Step 5: Solve for x
    x = 196,616,279,054.21/499,876.30
  6. Step 6: Final answer
    x = 393,329.87

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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.