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Finding the Fourth Proportional to 281,643, 388,667.36 and 154,323.16

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Solution

The fourth proportional to 281,643, 388,667.36 and 154,323.16 is: 212,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,643 : 388,667.36 = 154,323.16 : x
  2. Step 2: Convert to fraction form
    281,643/388,667.36 = 154,323.16/x
  3. Step 3: Cross multiply
    281,643x = 388,667.36 × 154,323.16
  4. Step 4: Simplify right side
    281,643x = 59,980,375,184.06
  5. Step 5: Solve for x
    x = 59,980,375,184.06/281,643
  6. Step 6: Final answer
    x = 212,965.97

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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.