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Finding the Fourth Proportional to 268,581.60, 402,216.30 and 201,659.40

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Solution

The fourth proportional to 268,581.60, 402,216.30 and 201,659.40 is: 301,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,581.60 : 402,216.30 = 201,659.40 : x
  2. Step 2: Convert to fraction form
    268,581.60/402,216.30 = 201,659.40/x
  3. Step 3: Cross multiply
    268,581.60x = 402,216.30 × 201,659.40
  4. Step 4: Simplify right side
    268,581.60x = 81,110,697,728.22
  5. Step 5: Solve for x
    x = 81,110,697,728.22/268,581.60
  6. Step 6: Final answer
    x = 301,996.48

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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.