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Finding the Fourth Proportional to 548,851.10, 821,663.85 and 409,228.70

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Solution

The fourth proportional to 548,851.10, 821,663.85 and 409,228.70 is: 612,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,851.10 : 821,663.85 = 409,228.70 : x
  2. Step 2: Convert to fraction form
    548,851.10/821,663.85 = 409,228.70/x
  3. Step 3: Cross multiply
    548,851.10x = 821,663.85 × 409,228.70
  4. Step 4: Simplify right side
    548,851.10x = 336,248,429,172.50
  5. Step 5: Solve for x
    x = 336,248,429,172.50/548,851.10
  6. Step 6: Final answer
    x = 612,640.53

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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.