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Finding the Fourth Proportional to 647,954,518.80, 971,931,778.20 and 518,814,355.80

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Solution

The fourth proportional to 647,954,518.80, 971,931,778.20 and 518,814,355.80 is: 778,221,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,954,518.80 : 971,931,778.20 = 518,814,355.80 : x
  2. Step 2: Convert to fraction form
    647,954,518.80/971,931,778.20 = 518,814,355.80/x
  3. Step 3: Cross multiply
    647,954,518.80x = 971,931,778.20 × 518,814,355.80
  4. Step 4: Simplify right side
    647,954,518.80x = 504,252,159,388,381,504
  5. Step 5: Solve for x
    x = 504,252,159,388,381,504/647,954,518.80
  6. Step 6: Final answer
    x = 778,221,533.70

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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.