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Finding the Fourth Proportional to 361,698.16, 499,247.40 and 218,434

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Solution

The fourth proportional to 361,698.16, 499,247.40 and 218,434 is: 301,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,698.16 : 499,247.40 = 218,434 : x
  2. Step 2: Convert to fraction form
    361,698.16/499,247.40 = 218,434/x
  3. Step 3: Cross multiply
    361,698.16x = 499,247.40 × 218,434
  4. Step 4: Simplify right side
    361,698.16x = 109,052,606,571.60
  5. Step 5: Solve for x
    x = 109,052,606,571.60/361,698.16
  6. Step 6: Final answer
    x = 301,501.69

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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.