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Finding the Fourth Proportional to 428,078.48, 642,209.75 and 124,477.92

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Solution

The fourth proportional to 428,078.48, 642,209.75 and 124,477.92 is: 186,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,078.48 : 642,209.75 = 124,477.92 : x
  2. Step 2: Convert to fraction form
    428,078.48/642,209.75 = 124,477.92/x
  3. Step 3: Cross multiply
    428,078.48x = 642,209.75 × 124,477.92
  4. Step 4: Simplify right side
    428,078.48x = 79,940,930,050.28
  5. Step 5: Solve for x
    x = 79,940,930,050.28/428,078.48
  6. Step 6: Final answer
    x = 186,743.63

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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.