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Finding the Fourth Proportional to 568,283,143.44, 783,798,605.18 and 489,031,782.78

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Solution

The fourth proportional to 568,283,143.44, 783,798,605.18 and 489,031,782.78 is: 674,491,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,283,143.44 : 783,798,605.18 = 489,031,782.78 : x
  2. Step 2: Convert to fraction form
    568,283,143.44/783,798,605.18 = 489,031,782.78/x
  3. Step 3: Cross multiply
    568,283,143.44x = 783,798,605.18 × 489,031,782.78
  4. Step 4: Simplify right side
    568,283,143.44x = 383,302,429,231,652,672
  5. Step 5: Solve for x
    x = 383,302,429,231,652,672/568,283,143.44
  6. Step 6: Final answer
    x = 674,491,991.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.