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Finding the Fourth Proportional to 229,531.36, 316,419.45 and 160,406.21

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Solution

The fourth proportional to 229,531.36, 316,419.45 and 160,406.21 is: 221,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,531.36 : 316,419.45 = 160,406.21 : x
  2. Step 2: Convert to fraction form
    229,531.36/316,419.45 = 160,406.21/x
  3. Step 3: Cross multiply
    229,531.36x = 316,419.45 × 160,406.21
  4. Step 4: Simplify right side
    229,531.36x = 50,755,644,744.78
  5. Step 5: Solve for x
    x = 50,755,644,744.78/229,531.36
  6. Step 6: Final answer
    x = 221,127.28

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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.