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Finding the Fourth Proportional to 299,959.70, 414,048.62 and 172,686.02

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Solution

The fourth proportional to 299,959.70, 414,048.62 and 172,686.02 is: 238,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,959.70 : 414,048.62 = 172,686.02 : x
  2. Step 2: Convert to fraction form
    299,959.70/414,048.62 = 172,686.02/x
  3. Step 3: Cross multiply
    299,959.70x = 414,048.62 × 172,686.02
  4. Step 4: Simplify right side
    299,959.70x = 71,500,406,635.76
  5. Step 5: Solve for x
    x = 71,500,406,635.76/299,959.70
  6. Step 6: Final answer
    x = 238,366.71

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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.