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Finding the Fourth Proportional to 427,986.40, 641,978.08 and 128,465.68

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Solution

The fourth proportional to 427,986.40, 641,978.08 and 128,465.68 is: 192,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,986.40 : 641,978.08 = 128,465.68 : x
  2. Step 2: Convert to fraction form
    427,986.40/641,978.08 = 128,465.68/x
  3. Step 3: Cross multiply
    427,986.40x = 641,978.08 × 128,465.68
  4. Step 4: Simplify right side
    427,986.40x = 82,472,150,592.29
  5. Step 5: Solve for x
    x = 82,472,150,592.29/427,986.40
  6. Step 6: Final answer
    x = 192,698.06

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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.