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Finding the Fourth Proportional to 505,174.23, 697,147.02 and 298,449.42

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Solution

The fourth proportional to 505,174.23, 697,147.02 and 298,449.42 is: 411,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,174.23 : 697,147.02 = 298,449.42 : x
  2. Step 2: Convert to fraction form
    505,174.23/697,147.02 = 298,449.42/x
  3. Step 3: Cross multiply
    505,174.23x = 697,147.02 × 298,449.42
  4. Step 4: Simplify right side
    505,174.23x = 208,063,118,795.75
  5. Step 5: Solve for x
    x = 208,063,118,795.75/505,174.23
  6. Step 6: Final answer
    x = 411,864.08

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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.