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Finding the Fourth Proportional to 484,438.40, 727,089.60 and 284,508.80

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Solution

The fourth proportional to 484,438.40, 727,089.60 and 284,508.80 is: 427,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,438.40 : 727,089.60 = 284,508.80 : x
  2. Step 2: Convert to fraction form
    484,438.40/727,089.60 = 284,508.80/x
  3. Step 3: Cross multiply
    484,438.40x = 727,089.60 × 284,508.80
  4. Step 4: Simplify right side
    484,438.40x = 206,863,389,588.48
  5. Step 5: Solve for x
    x = 206,863,389,588.48/484,438.40
  6. Step 6: Final answer
    x = 427,016.91

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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.