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Finding the Fourth Proportional to 301,254.26, 415,715.90 and 172,188.86

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Solution

The fourth proportional to 301,254.26, 415,715.90 and 172,188.86 is: 237,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,254.26 : 415,715.90 = 172,188.86 : x
  2. Step 2: Convert to fraction form
    301,254.26/415,715.90 = 172,188.86/x
  3. Step 3: Cross multiply
    301,254.26x = 415,715.90 × 172,188.86
  4. Step 4: Simplify right side
    301,254.26x = 71,581,646,904.87
  5. Step 5: Solve for x
    x = 71,581,646,904.87/301,254.26
  6. Step 6: Final answer
    x = 237,612.07

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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.