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Finding the Fourth Proportional to 402,212.55, 603,309.60 and 202,479.30

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Solution

The fourth proportional to 402,212.55, 603,309.60 and 202,479.30 is: 303,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,212.55 : 603,309.60 = 202,479.30 : x
  2. Step 2: Convert to fraction form
    402,212.55/603,309.60 = 202,479.30/x
  3. Step 3: Cross multiply
    402,212.55x = 603,309.60 × 202,479.30
  4. Step 4: Simplify right side
    402,212.55x = 122,157,705,491.28
  5. Step 5: Solve for x
    x = 122,157,705,491.28/402,212.55
  6. Step 6: Final answer
    x = 303,714.31

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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.