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Finding the Fourth Proportional to 329,648.56, 494,547.42 and 105,021.79

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Solution

The fourth proportional to 329,648.56, 494,547.42 and 105,021.79 is: 157,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,648.56 : 494,547.42 = 105,021.79 : x
  2. Step 2: Convert to fraction form
    329,648.56/494,547.42 = 105,021.79/x
  3. Step 3: Cross multiply
    329,648.56x = 494,547.42 × 105,021.79
  4. Step 4: Simplify right side
    329,648.56x = 51,938,254,051.91
  5. Step 5: Solve for x
    x = 51,938,254,051.91/329,648.56
  6. Step 6: Final answer
    x = 157,556.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.