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Finding the Fourth Proportional to 354,347.25, 530,919.44 and 213,810.63

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Solution

The fourth proportional to 354,347.25, 530,919.44 and 213,810.63 is: 320,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,347.25 : 530,919.44 = 213,810.63 : x
  2. Step 2: Convert to fraction form
    354,347.25/530,919.44 = 213,810.63/x
  3. Step 3: Cross multiply
    354,347.25x = 530,919.44 × 213,810.63
  4. Step 4: Simplify right side
    354,347.25x = 113,516,219,945.65
  5. Step 5: Solve for x
    x = 113,516,219,945.65/354,347.25
  6. Step 6: Final answer
    x = 320,353.04

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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.