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Finding the Fourth Proportional to 268,235.60, 401,697.30 and 127,830.20

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Solution

The fourth proportional to 268,235.60, 401,697.30 and 127,830.20 is: 191,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,235.60 : 401,697.30 = 127,830.20 : x
  2. Step 2: Convert to fraction form
    268,235.60/401,697.30 = 127,830.20/x
  3. Step 3: Cross multiply
    268,235.60x = 401,697.30 × 127,830.20
  4. Step 4: Simplify right side
    268,235.60x = 51,349,046,198.46
  5. Step 5: Solve for x
    x = 51,349,046,198.46/268,235.60
  6. Step 6: Final answer
    x = 191,432.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.