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Finding the Fourth Proportional to 255,709.16, 352,883.28 and 142,519.76

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Solution

The fourth proportional to 255,709.16, 352,883.28 and 142,519.76 is: 196,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,709.16 : 352,883.28 = 142,519.76 : x
  2. Step 2: Convert to fraction form
    255,709.16/352,883.28 = 142,519.76/x
  3. Step 3: Cross multiply
    255,709.16x = 352,883.28 × 142,519.76
  4. Step 4: Simplify right side
    255,709.16x = 50,292,840,373.61
  5. Step 5: Solve for x
    x = 50,292,840,373.61/255,709.16
  6. Step 6: Final answer
    x = 196,679.85

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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.