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Finding the Fourth Proportional to 256,569.30, 354,058.02 and 143,391.78

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Solution

The fourth proportional to 256,569.30, 354,058.02 and 143,391.78 is: 197,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,569.30 : 354,058.02 = 143,391.78 : x
  2. Step 2: Convert to fraction form
    256,569.30/354,058.02 = 143,391.78/x
  3. Step 3: Cross multiply
    256,569.30x = 354,058.02 × 143,391.78
  4. Step 4: Simplify right side
    256,569.30x = 50,769,009,711.08
  5. Step 5: Solve for x
    x = 50,769,009,711.08/256,569.30
  6. Step 6: Final answer
    x = 197,876.40

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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.