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Finding the Fourth Proportional to 428,249.39, 642,324.40 and 112,730.90

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Solution

The fourth proportional to 428,249.39, 642,324.40 and 112,730.90 is: 169,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,249.39 : 642,324.40 = 112,730.90 : x
  2. Step 2: Convert to fraction form
    428,249.39/642,324.40 = 112,730.90/x
  3. Step 3: Cross multiply
    428,249.39x = 642,324.40 × 112,730.90
  4. Step 4: Simplify right side
    428,249.39x = 72,409,804,210.51
  5. Step 5: Solve for x
    x = 72,409,804,210.51/428,249.39
  6. Step 6: Final answer
    x = 169,083.26

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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.