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Finding the Fourth Proportional to 256,429.20, 384,643.80 and 114,274.20

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Solution

The fourth proportional to 256,429.20, 384,643.80 and 114,274.20 is: 171,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,429.20 : 384,643.80 = 114,274.20 : x
  2. Step 2: Convert to fraction form
    256,429.20/384,643.80 = 114,274.20/x
  3. Step 3: Cross multiply
    256,429.20x = 384,643.80 × 114,274.20
  4. Step 4: Simplify right side
    256,429.20x = 43,954,862,529.96
  5. Step 5: Solve for x
    x = 43,954,862,529.96/256,429.20
  6. Step 6: Final answer
    x = 171,411.30

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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.