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Finding the Fourth Proportional to 394,258.52, 544,077.06 and 212,970.45

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Solution

The fourth proportional to 394,258.52, 544,077.06 and 212,970.45 is: 293,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,258.52 : 544,077.06 = 212,970.45 : x
  2. Step 2: Convert to fraction form
    394,258.52/544,077.06 = 212,970.45/x
  3. Step 3: Cross multiply
    394,258.52x = 544,077.06 × 212,970.45
  4. Step 4: Simplify right side
    394,258.52x = 115,872,337,544.53
  5. Step 5: Solve for x
    x = 115,872,337,544.53/394,258.52
  6. Step 6: Final answer
    x = 293,899.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.