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Finding the Fourth Proportional to 363,954.20, 502,258.80 and 211,083

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Solution

The fourth proportional to 363,954.20, 502,258.80 and 211,083 is: 291,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,954.20 : 502,258.80 = 211,083 : x
  2. Step 2: Convert to fraction form
    363,954.20/502,258.80 = 211,083/x
  3. Step 3: Cross multiply
    363,954.20x = 502,258.80 × 211,083
  4. Step 4: Simplify right side
    363,954.20x = 106,018,294,280.40
  5. Step 5: Solve for x
    x = 106,018,294,280.40/363,954.20
  6. Step 6: Final answer
    x = 291,295.70

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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.