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Finding the Fourth Proportional to 257,457.63, 355,302.76 and 142,728.97

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Solution

The fourth proportional to 257,457.63, 355,302.76 and 142,728.97 is: 196,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,457.63 : 355,302.76 = 142,728.97 : x
  2. Step 2: Convert to fraction form
    257,457.63/355,302.76 = 142,728.97/x
  3. Step 3: Cross multiply
    257,457.63x = 355,302.76 × 142,728.97
  4. Step 4: Simplify right side
    257,457.63x = 50,711,996,972.96
  5. Step 5: Solve for x
    x = 50,711,996,972.96/257,457.63
  6. Step 6: Final answer
    x = 196,972.20

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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.