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Finding the Fourth Proportional to 548,531.32, 822,855.30 and 149,178.64

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Solution

The fourth proportional to 548,531.32, 822,855.30 and 149,178.64 is: 223,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,531.32 : 822,855.30 = 149,178.64 : x
  2. Step 2: Convert to fraction form
    548,531.32/822,855.30 = 149,178.64/x
  3. Step 3: Cross multiply
    548,531.32x = 822,855.30 × 149,178.64
  4. Step 4: Simplify right side
    548,531.32x = 122,752,434,570.79
  5. Step 5: Solve for x
    x = 122,752,434,570.79/548,531.32
  6. Step 6: Final answer
    x = 223,783.82

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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.