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Finding the Fourth Proportional to 402,219.55, 603,320.10 and 202,486.30

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Solution

The fourth proportional to 402,219.55, 603,320.10 and 202,486.30 is: 303,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,219.55 : 603,320.10 = 202,486.30 : x
  2. Step 2: Convert to fraction form
    402,219.55/603,320.10 = 202,486.30/x
  3. Step 3: Cross multiply
    402,219.55x = 603,320.10 × 202,486.30
  4. Step 4: Simplify right side
    402,219.55x = 122,164,054,764.63
  5. Step 5: Solve for x
    x = 122,164,054,764.63/402,219.55
  6. Step 6: Final answer
    x = 303,724.81

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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.