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Finding the Fourth Proportional to 547,818, 821,727 and 148,458.74

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Solution

The fourth proportional to 547,818, 821,727 and 148,458.74 is: 222,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,818 : 821,727 = 148,458.74 : x
  2. Step 2: Convert to fraction form
    547,818/821,727 = 148,458.74/x
  3. Step 3: Cross multiply
    547,818x = 821,727 × 148,458.74
  4. Step 4: Simplify right side
    547,818x = 121,992,555,043.98
  5. Step 5: Solve for x
    x = 121,992,555,043.98/547,818
  6. Step 6: Final answer
    x = 222,688.11

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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.