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Finding the Fourth Proportional to 640,991,838.74, 961,486,263.09 and 421,051,493.30

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Solution

The fourth proportional to 640,991,838.74, 961,486,263.09 and 421,051,493.30 is: 631,576,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,991,838.74 : 961,486,263.09 = 421,051,493.30 : x
  2. Step 2: Convert to fraction form
    640,991,838.74/961,486,263.09 = 421,051,493.30/x
  3. Step 3: Cross multiply
    640,991,838.74x = 961,486,263.09 × 421,051,493.30
  4. Step 4: Simplify right side
    640,991,838.74x = 404,835,226,861,481,216
  5. Step 5: Solve for x
    x = 404,835,226,861,481,216/640,991,838.74
  6. Step 6: Final answer
    x = 631,576,257.91

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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.