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Finding the Fourth Proportional to 213,719.60, 320,579.40 and 194,020.40

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Solution

The fourth proportional to 213,719.60, 320,579.40 and 194,020.40 is: 291,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,719.60 : 320,579.40 = 194,020.40 : x
  2. Step 2: Convert to fraction form
    213,719.60/320,579.40 = 194,020.40/x
  3. Step 3: Cross multiply
    213,719.60x = 320,579.40 × 194,020.40
  4. Step 4: Simplify right side
    213,719.60x = 62,198,943,419.76
  5. Step 5: Solve for x
    x = 62,198,943,419.76/213,719.60
  6. Step 6: Final answer
    x = 291,030.60

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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.