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Finding the Fourth Proportional to 647,230,234.40, 970,873,690.80 and 187,214,904.80

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Solution

The fourth proportional to 647,230,234.40, 970,873,690.80 and 187,214,904.80 is: 280,830,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,230,234.40 : 970,873,690.80 = 187,214,904.80 : x
  2. Step 2: Convert to fraction form
    647,230,234.40/970,873,690.80 = 187,214,904.80/x
  3. Step 3: Cross multiply
    647,230,234.40x = 970,873,690.80 × 187,214,904.80
  4. Step 4: Simplify right side
    647,230,234.40x = 181,762,025,595,946,624
  5. Step 5: Solve for x
    x = 181,762,025,595,946,624/647,230,234.40
  6. Step 6: Final answer
    x = 280,830,554.47

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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.