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Finding the Fourth Proportional to 268,214.60, 401,665.80 and 127,809.20

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Solution

The fourth proportional to 268,214.60, 401,665.80 and 127,809.20 is: 191,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,214.60 : 401,665.80 = 127,809.20 : x
  2. Step 2: Convert to fraction form
    268,214.60/401,665.80 = 127,809.20/x
  3. Step 3: Cross multiply
    268,214.60x = 401,665.80 × 127,809.20
  4. Step 4: Simplify right side
    268,214.60x = 51,336,584,565.36
  5. Step 5: Solve for x
    x = 51,336,584,565.36/268,214.60
  6. Step 6: Final answer
    x = 191,401.16

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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.