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Finding the Fourth Proportional to 427,986.66, 641,978.45 and 128,465.94

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Solution

The fourth proportional to 427,986.66, 641,978.45 and 128,465.94 is: 192,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,986.66 : 641,978.45 = 128,465.94 : x
  2. Step 2: Convert to fraction form
    427,986.66/641,978.45 = 128,465.94/x
  3. Step 3: Cross multiply
    427,986.66x = 641,978.45 × 128,465.94
  4. Step 4: Simplify right side
    427,986.66x = 82,472,364,396.66
  5. Step 5: Solve for x
    x = 82,472,364,396.66/427,986.66
  6. Step 6: Final answer
    x = 192,698.45

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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.