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Finding the Fourth Proportional to 255,439.46, 352,506.46 and 142,262.20

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Solution

The fourth proportional to 255,439.46, 352,506.46 and 142,262.20 is: 196,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,439.46 : 352,506.46 = 142,262.20 : x
  2. Step 2: Convert to fraction form
    255,439.46/352,506.46 = 142,262.20/x
  3. Step 3: Cross multiply
    255,439.46x = 352,506.46 × 142,262.20
  4. Step 4: Simplify right side
    255,439.46x = 50,148,344,513.81
  5. Step 5: Solve for x
    x = 50,148,344,513.81/255,439.46
  6. Step 6: Final answer
    x = 196,321.84

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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.