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Finding the Fourth Proportional to 281,693.34, 388,746.30 and 154,367.82

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Solution

The fourth proportional to 281,693.34, 388,746.30 and 154,367.82 is: 213,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,693.34 : 388,746.30 = 154,367.82 : x
  2. Step 2: Convert to fraction form
    281,693.34/388,746.30 = 154,367.82/x
  3. Step 3: Cross multiply
    281,693.34x = 388,746.30 × 154,367.82
  4. Step 4: Simplify right side
    281,693.34x = 60,009,918,864.07
  5. Step 5: Solve for x
    x = 60,009,918,864.07/281,693.34
  6. Step 6: Final answer
    x = 213,032.79

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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.