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Finding the Fourth Proportional to 299,951.69, 413,978.40 and 172,602.68

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Solution

The fourth proportional to 299,951.69, 413,978.40 and 172,602.68 is: 238,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,951.69 : 413,978.40 = 172,602.68 : x
  2. Step 2: Convert to fraction form
    299,951.69/413,978.40 = 172,602.68/x
  3. Step 3: Cross multiply
    299,951.69x = 413,978.40 × 172,602.68
  4. Step 4: Simplify right side
    299,951.69x = 71,453,779,232.22
  5. Step 5: Solve for x
    x = 71,453,779,232.22/299,951.69
  6. Step 6: Final answer
    x = 238,217.63

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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.