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Finding the Fourth Proportional to 255,900.42, 353,143.05 and 142,730.46

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Solution

The fourth proportional to 255,900.42, 353,143.05 and 142,730.46 is: 196,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,900.42 : 353,143.05 = 142,730.46 : x
  2. Step 2: Convert to fraction form
    255,900.42/353,143.05 = 142,730.46/x
  3. Step 3: Cross multiply
    255,900.42x = 353,143.05 × 142,730.46
  4. Step 4: Simplify right side
    255,900.42x = 50,404,269,972.30
  5. Step 5: Solve for x
    x = 50,404,269,972.30/255,900.42
  6. Step 6: Final answer
    x = 196,968.30

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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.