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Finding the Fourth Proportional to 361,871.66, 499,373.26 and 208,904.69

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Solution

The fourth proportional to 361,871.66, 499,373.26 and 208,904.69 is: 288,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,871.66 : 499,373.26 = 208,904.69 : x
  2. Step 2: Convert to fraction form
    361,871.66/499,373.26 = 208,904.69/x
  3. Step 3: Cross multiply
    361,871.66x = 499,373.26 × 208,904.69
  4. Step 4: Simplify right side
    361,871.66x = 104,321,412,533.20
  5. Step 5: Solve for x
    x = 104,321,412,533.20/361,871.66
  6. Step 6: Final answer
    x = 288,282.90

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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.