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Finding the Fourth Proportional to 646,885,672.80, 970,328,509.20 and 629,879,560.80

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Solution

The fourth proportional to 646,885,672.80, 970,328,509.20 and 629,879,560.80 is: 944,819,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,885,672.80 : 970,328,509.20 = 629,879,560.80 : x
  2. Step 2: Convert to fraction form
    646,885,672.80/970,328,509.20 = 629,879,560.80/x
  3. Step 3: Cross multiply
    646,885,672.80x = 970,328,509.20 × 629,879,560.80
  4. Step 4: Simplify right side
    646,885,672.80x = 611,190,095,206,614,784
  5. Step 5: Solve for x
    x = 611,190,095,206,614,784/646,885,672.80
  6. Step 6: Final answer
    x = 944,819,341.20

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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.