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Finding the Fourth Proportional to 255,402.76, 352,458.12 and 142,227.76

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Solution

The fourth proportional to 255,402.76, 352,458.12 and 142,227.76 is: 196,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,402.76 : 352,458.12 = 142,227.76 : x
  2. Step 2: Convert to fraction form
    255,402.76/352,458.12 = 142,227.76/x
  3. Step 3: Cross multiply
    255,402.76x = 352,458.12 × 142,227.76
  4. Step 4: Simplify right side
    255,402.76x = 50,129,328,901.41
  5. Step 5: Solve for x
    x = 50,129,328,901.41/255,402.76
  6. Step 6: Final answer
    x = 196,275.60

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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.