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Finding the Fourth Proportional to 548,963.83, 822,874.85 and 212,235.76

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Solution

The fourth proportional to 548,963.83, 822,874.85 and 212,235.76 is: 318,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,963.83 : 822,874.85 = 212,235.76 : x
  2. Step 2: Convert to fraction form
    548,963.83/822,874.85 = 212,235.76/x
  3. Step 3: Cross multiply
    548,963.83x = 822,874.85 × 212,235.76
  4. Step 4: Simplify right side
    548,963.83x = 174,643,463,999.08
  5. Step 5: Solve for x
    x = 174,643,463,999.08/548,963.83
  6. Step 6: Final answer
    x = 318,132.92

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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.