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Finding the Fourth Proportional to 281,530.80, 388,513.80 and 154,206

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Solution

The fourth proportional to 281,530.80, 388,513.80 and 154,206 is: 212,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,530.80 : 388,513.80 = 154,206 : x
  2. Step 2: Convert to fraction form
    281,530.80/388,513.80 = 154,206/x
  3. Step 3: Cross multiply
    281,530.80x = 388,513.80 × 154,206
  4. Step 4: Simplify right side
    281,530.80x = 59,911,159,042.80
  5. Step 5: Solve for x
    x = 59,911,159,042.80/281,530.80
  6. Step 6: Final answer
    x = 212,804.99

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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.