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Finding the Fourth Proportional to 640,991,814.95, 961,486,227.56 and 421,051,469.45

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Solution

The fourth proportional to 640,991,814.95, 961,486,227.56 and 421,051,469.45 is: 631,576,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,991,814.95 : 961,486,227.56 = 421,051,469.45 : x
  2. Step 2: Convert to fraction form
    640,991,814.95/961,486,227.56 = 421,051,469.45/x
  3. Step 3: Cross multiply
    640,991,814.95x = 961,486,227.56 × 421,051,469.45
  4. Step 4: Simplify right side
    640,991,814.95x = 404,835,188,963,162,368
  5. Step 5: Solve for x
    x = 404,835,188,963,162,368/640,991,814.95
  6. Step 6: Final answer
    x = 631,576,222.23

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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.