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Finding the Fourth Proportional to 310,116.73, 428,007.37 and 189,328.04

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Solution

The fourth proportional to 310,116.73, 428,007.37 and 189,328.04 is: 261,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,116.73 : 428,007.37 = 189,328.04 : x
  2. Step 2: Convert to fraction form
    310,116.73/428,007.37 = 189,328.04/x
  3. Step 3: Cross multiply
    310,116.73x = 428,007.37 × 189,328.04
  4. Step 4: Simplify right side
    310,116.73x = 81,033,793,854.30
  5. Step 5: Solve for x
    x = 81,033,793,854.30/310,116.73
  6. Step 6: Final answer
    x = 261,300.94

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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.