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Finding the Fourth Proportional to 548,394,275.59, 816,891,708.21 and 518,691,447.61

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Solution

The fourth proportional to 548,394,275.59, 816,891,708.21 and 518,691,447.61 is: 772,646,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,394,275.59 : 816,891,708.21 = 518,691,447.61 : x
  2. Step 2: Convert to fraction form
    548,394,275.59/816,891,708.21 = 518,691,447.61/x
  3. Step 3: Cross multiply
    548,394,275.59x = 816,891,708.21 × 518,691,447.61
  4. Step 4: Simplify right side
    548,394,275.59x = 423,714,742,669,457,216
  5. Step 5: Solve for x
    x = 423,714,742,669,457,216/548,394,275.59
  6. Step 6: Final answer
    x = 772,646,180.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.