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Finding the Fourth Proportional to 256,042.94, 353,240.71 and 160,383.10

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Solution

The fourth proportional to 256,042.94, 353,240.71 and 160,383.10 is: 221,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042.94 : 353,240.71 = 160,383.10 : x
  2. Step 2: Convert to fraction form
    256,042.94/353,240.71 = 160,383.10/x
  3. Step 3: Cross multiply
    256,042.94x = 353,240.71 × 160,383.10
  4. Step 4: Simplify right side
    256,042.94x = 56,653,840,116.00
  5. Step 5: Solve for x
    x = 56,653,840,116.00/256,042.94
  6. Step 6: Final answer
    x = 221,266.95

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1.5x scale

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.