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Finding the Fourth Proportional to 621,617,682.78, 857,835,143.33 and 343,161,494.46

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Solution

The fourth proportional to 621,617,682.78, 857,835,143.33 and 343,161,494.46 is: 473,564,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,617,682.78 : 857,835,143.33 = 343,161,494.46 : x
  2. Step 2: Convert to fraction form
    621,617,682.78/857,835,143.33 = 343,161,494.46/x
  3. Step 3: Cross multiply
    621,617,682.78x = 857,835,143.33 × 343,161,494.46
  4. Step 4: Simplify right side
    621,617,682.78x = 294,375,989,783,715,264
  5. Step 5: Solve for x
    x = 294,375,989,783,715,264/621,617,682.78
  6. Step 6: Final answer
    x = 473,564,375.56

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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.