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Finding the Fourth Proportional to 281,457.20, 422,228.76 and 112,977.20

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Solution

The fourth proportional to 281,457.20, 422,228.76 and 112,977.20 is: 169,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,457.20 : 422,228.76 = 112,977.20 : x
  2. Step 2: Convert to fraction form
    281,457.20/422,228.76 = 112,977.20/x
  3. Step 3: Cross multiply
    281,457.20x = 422,228.76 × 112,977.20
  4. Step 4: Simplify right side
    281,457.20x = 47,702,223,064.27
  5. Step 5: Solve for x
    x = 47,702,223,064.27/281,457.20
  6. Step 6: Final answer
    x = 169,483.04

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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.