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Finding the Fourth Proportional to 557,170.24, 768,898 and 302,521.43

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Solution

The fourth proportional to 557,170.24, 768,898 and 302,521.43 is: 417,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,170.24 : 768,898 = 302,521.43 : x
  2. Step 2: Convert to fraction form
    557,170.24/768,898 = 302,521.43/x
  3. Step 3: Cross multiply
    557,170.24x = 768,898 × 302,521.43
  4. Step 4: Simplify right side
    557,170.24x = 232,608,122,484.14
  5. Step 5: Solve for x
    x = 232,608,122,484.14/557,170.24
  6. Step 6: Final answer
    x = 417,481.24

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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.