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Finding the Fourth Proportional to 257,224.40, 354,969.58 and 142,510.48

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Solution

The fourth proportional to 257,224.40, 354,969.58 and 142,510.48 is: 196,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224.40 : 354,969.58 = 142,510.48 : x
  2. Step 2: Convert to fraction form
    257,224.40/354,969.58 = 142,510.48/x
  3. Step 3: Cross multiply
    257,224.40x = 354,969.58 × 142,510.48
  4. Step 4: Simplify right side
    257,224.40x = 50,586,885,231.20
  5. Step 5: Solve for x
    x = 50,586,885,231.20/257,224.40
  6. Step 6: Final answer
    x = 196,664.41

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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.