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Finding the Fourth Proportional to 361,796.91, 499,213.73 and 208,779.28

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Solution

The fourth proportional to 361,796.91, 499,213.73 and 208,779.28 is: 288,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,796.91 : 499,213.73 = 208,779.28 : x
  2. Step 2: Convert to fraction form
    361,796.91/499,213.73 = 208,779.28/x
  3. Step 3: Cross multiply
    361,796.91x = 499,213.73 × 208,779.28
  4. Step 4: Simplify right side
    361,796.91x = 104,225,482,695.64
  5. Step 5: Solve for x
    x = 104,225,482,695.64/361,796.91
  6. Step 6: Final answer
    x = 288,077.31

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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.