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Finding the Fourth Proportional to 256,420.92, 353,858.92 and 141,707.28

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Solution

The fourth proportional to 256,420.92, 353,858.92 and 141,707.28 is: 195,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,420.92 : 353,858.92 = 141,707.28 : x
  2. Step 2: Convert to fraction form
    256,420.92/353,858.92 = 141,707.28/x
  3. Step 3: Cross multiply
    256,420.92x = 353,858.92 × 141,707.28
  4. Step 4: Simplify right side
    256,420.92x = 50,144,385,056.94
  5. Step 5: Solve for x
    x = 50,144,385,056.94/256,420.92
  6. Step 6: Final answer
    x = 195,554.97

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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.