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Finding the Fourth Proportional to 548,856.10, 821,671.35 and 409,233.70

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Solution

The fourth proportional to 548,856.10, 821,671.35 and 409,233.70 is: 612,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,856.10 : 821,671.35 = 409,233.70 : x
  2. Step 2: Convert to fraction form
    548,856.10/821,671.35 = 409,233.70/x
  3. Step 3: Cross multiply
    548,856.10x = 821,671.35 × 409,233.70
  4. Step 4: Simplify right side
    548,856.10x = 336,255,606,744.50
  5. Step 5: Solve for x
    x = 336,255,606,744.50/548,856.10
  6. Step 6: Final answer
    x = 612,648.03

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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.