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Finding the Fourth Proportional to 428,284, 642,465.60 and 112,742.56

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Solution

The fourth proportional to 428,284, 642,465.60 and 112,742.56 is: 169,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,284 : 642,465.60 = 112,742.56 : x
  2. Step 2: Convert to fraction form
    428,284/642,465.60 = 112,742.56/x
  3. Step 3: Cross multiply
    428,284x = 642,465.60 × 112,742.56
  4. Step 4: Simplify right side
    428,284x = 72,433,216,455.94
  5. Step 5: Solve for x
    x = 72,433,216,455.94/428,284
  6. Step 6: Final answer
    x = 169,124.26

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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.