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Finding the Fourth Proportional to 256,355.94, 353,541.31 and 213,477.37

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Solution

The fourth proportional to 256,355.94, 353,541.31 and 213,477.37 is: 294,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,355.94 : 353,541.31 = 213,477.37 : x
  2. Step 2: Convert to fraction form
    256,355.94/353,541.31 = 213,477.37/x
  3. Step 3: Cross multiply
    256,355.94x = 353,541.31 × 213,477.37
  4. Step 4: Simplify right side
    256,355.94x = 75,473,069,616.28
  5. Step 5: Solve for x
    x = 75,473,069,616.28/256,355.94
  6. Step 6: Final answer
    x = 294,407.34

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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.