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Finding the Fourth Proportional to 648,483,524.70, 972,826,064 and 217,762,797.66

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Solution

The fourth proportional to 648,483,524.70, 972,826,064 and 217,762,797.66 is: 326,678,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,483,524.70 : 972,826,064 = 217,762,797.66 : x
  2. Step 2: Convert to fraction form
    648,483,524.70/972,826,064 = 217,762,797.66/x
  3. Step 3: Cross multiply
    648,483,524.70x = 972,826,064 × 217,762,797.66
  4. Step 4: Simplify right side
    648,483,524.70x = 211,845,325,333,206,208
  5. Step 5: Solve for x
    x = 211,845,325,333,206,208/648,483,524.70
  6. Step 6: Final answer
    x = 326,678,037.71

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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.