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Finding the Fourth Proportional to 299,602.64, 413,409.48 and 172,231.76

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Solution

The fourth proportional to 299,602.64, 413,409.48 and 172,231.76 is: 237,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,602.64 : 413,409.48 = 172,231.76 : x
  2. Step 2: Convert to fraction form
    299,602.64/413,409.48 = 172,231.76/x
  3. Step 3: Cross multiply
    299,602.64x = 413,409.48 × 172,231.76
  4. Step 4: Simplify right side
    299,602.64x = 71,202,242,341.08
  5. Step 5: Solve for x
    x = 71,202,242,341.08/299,602.64
  6. Step 6: Final answer
    x = 237,655.59

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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.