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Finding the Fourth Proportional to 255,454.64, 352,538.34 and 142,277.40

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Solution

The fourth proportional to 255,454.64, 352,538.34 and 142,277.40 is: 196,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,454.64 : 352,538.34 = 142,277.40 : x
  2. Step 2: Convert to fraction form
    255,454.64/352,538.34 = 142,277.40/x
  3. Step 3: Cross multiply
    255,454.64x = 352,538.34 × 142,277.40
  4. Step 4: Simplify right side
    255,454.64x = 50,158,238,415.52
  5. Step 5: Solve for x
    x = 50,158,238,415.52/255,454.64
  6. Step 6: Final answer
    x = 196,348.90

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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.