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Finding the Fourth Proportional to 454,073.60, 681,499.20 and 201,742.40

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Solution

The fourth proportional to 454,073.60, 681,499.20 and 201,742.40 is: 302,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,073.60 : 681,499.20 = 201,742.40 : x
  2. Step 2: Convert to fraction form
    454,073.60/681,499.20 = 201,742.40/x
  3. Step 3: Cross multiply
    454,073.60x = 681,499.20 × 201,742.40
  4. Step 4: Simplify right side
    454,073.60x = 137,487,284,206.08
  5. Step 5: Solve for x
    x = 137,487,284,206.08/454,073.60
  6. Step 6: Final answer
    x = 302,786.34

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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.