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Finding the Fourth Proportional to 256,643.17, 384,706.40 and 106,966.31

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Solution

The fourth proportional to 256,643.17, 384,706.40 and 106,966.31 is: 160,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643.17 : 384,706.40 = 106,966.31 : x
  2. Step 2: Convert to fraction form
    256,643.17/384,706.40 = 106,966.31/x
  3. Step 3: Cross multiply
    256,643.17x = 384,706.40 × 106,966.31
  4. Step 4: Simplify right side
    256,643.17x = 41,150,621,583.02
  5. Step 5: Solve for x
    x = 41,150,621,583.02/256,643.17
  6. Step 6: Final answer
    x = 160,341.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.