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Finding the Fourth Proportional to 281,378.90, 388,302.89 and 154,054.50

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Solution

The fourth proportional to 281,378.90, 388,302.89 and 154,054.50 is: 212,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,378.90 : 388,302.89 = 154,054.50 : x
  2. Step 2: Convert to fraction form
    281,378.90/388,302.89 = 154,054.50/x
  3. Step 3: Cross multiply
    281,378.90x = 388,302.89 × 154,054.50
  4. Step 4: Simplify right side
    281,378.90x = 59,819,806,797.23
  5. Step 5: Solve for x
    x = 59,819,806,797.23/281,378.90
  6. Step 6: Final answer
    x = 212,595.22

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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.