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Finding the Fourth Proportional to 257,463.96, 355,311.51 and 142,735.30

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Solution

The fourth proportional to 257,463.96, 355,311.51 and 142,735.30 is: 196,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,463.96 : 355,311.51 = 142,735.30 : x
  2. Step 2: Convert to fraction form
    257,463.96/355,311.51 = 142,735.30/x
  3. Step 3: Cross multiply
    257,463.96x = 355,311.51 × 142,735.30
  4. Step 4: Simplify right side
    257,463.96x = 50,715,493,549.77
  5. Step 5: Solve for x
    x = 50,715,493,549.77/257,463.96
  6. Step 6: Final answer
    x = 196,980.95

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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.