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Finding the Fourth Proportional to 409,698,906.80, 614,548,360.20 and 362,347,513.70

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Solution

The fourth proportional to 409,698,906.80, 614,548,360.20 and 362,347,513.70 is: 543,521,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698,906.80 : 614,548,360.20 = 362,347,513.70 : x
  2. Step 2: Convert to fraction form
    409,698,906.80/614,548,360.20 = 362,347,513.70/x
  3. Step 3: Cross multiply
    409,698,906.80x = 614,548,360.20 × 362,347,513.70
  4. Step 4: Simplify right side
    409,698,906.80x = 222,680,070,366,882,048
  5. Step 5: Solve for x
    x = 222,680,070,366,882,048/409,698,906.80
  6. Step 6: Final answer
    x = 543,521,270.55

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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.