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Finding the Fourth Proportional to 354,005.60, 530,230.80 and 213,519.20

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Solution

The fourth proportional to 354,005.60, 530,230.80 and 213,519.20 is: 319,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,005.60 : 530,230.80 = 213,519.20 : x
  2. Step 2: Convert to fraction form
    354,005.60/530,230.80 = 213,519.20/x
  3. Step 3: Cross multiply
    354,005.60x = 530,230.80 × 213,519.20
  4. Step 4: Simplify right side
    354,005.60x = 113,214,456,231.36
  5. Step 5: Solve for x
    x = 113,214,456,231.36/354,005.60
  6. Step 6: Final answer
    x = 319,809.79

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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.