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Finding the Fourth Proportional to 428,457.60, 642,776.28 and 128,960.10

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Solution

The fourth proportional to 428,457.60, 642,776.28 and 128,960.10 is: 193,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,457.60 : 642,776.28 = 128,960.10 : x
  2. Step 2: Convert to fraction form
    428,457.60/642,776.28 = 128,960.10/x
  3. Step 3: Cross multiply
    428,457.60x = 642,776.28 × 128,960.10
  4. Step 4: Simplify right side
    428,457.60x = 82,892,493,346.43
  5. Step 5: Solve for x
    x = 82,892,493,346.43/428,457.60
  6. Step 6: Final answer
    x = 193,467.20

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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.