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Finding the Fourth Proportional to 281,855.34, 388,964.16 and 154,530.63

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Solution

The fourth proportional to 281,855.34, 388,964.16 and 154,530.63 is: 213,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,855.34 : 388,964.16 = 154,530.63 : x
  2. Step 2: Convert to fraction form
    281,855.34/388,964.16 = 154,530.63/x
  3. Step 3: Cross multiply
    281,855.34x = 388,964.16 × 154,530.63
  4. Step 4: Simplify right side
    281,855.34x = 60,106,876,692.22
  5. Step 5: Solve for x
    x = 60,106,876,692.22/281,855.34
  6. Step 6: Final answer
    x = 213,254.35

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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.