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Finding the Fourth Proportional to 299,053.17, 412,681.80 and 170,008.56

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Solution

The fourth proportional to 299,053.17, 412,681.80 and 170,008.56 is: 234,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053.17 : 412,681.80 = 170,008.56 : x
  2. Step 2: Convert to fraction form
    299,053.17/412,681.80 = 170,008.56/x
  3. Step 3: Cross multiply
    299,053.17x = 412,681.80 × 170,008.56
  4. Step 4: Simplify right side
    299,053.17x = 70,159,438,556.21
  5. Step 5: Solve for x
    x = 70,159,438,556.21/299,053.17
  6. Step 6: Final answer
    x = 234,605.23

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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.