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Finding the Fourth Proportional to 279,978,315.40, 419,400,602.70 and 158,668,049.80

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Solution

The fourth proportional to 279,978,315.40, 419,400,602.70 and 158,668,049.80 is: 237,680,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,978,315.40 : 419,400,602.70 = 158,668,049.80 : x
  2. Step 2: Convert to fraction form
    279,978,315.40/419,400,602.70 = 158,668,049.80/x
  3. Step 3: Cross multiply
    279,978,315.40x = 419,400,602.70 × 158,668,049.80
  4. Step 4: Simplify right side
    279,978,315.40x = 66,545,475,715,353,616
  5. Step 5: Solve for x
    x = 66,545,475,715,353,616/279,978,315.40
  6. Step 6: Final answer
    x = 237,680,820.46

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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.