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Finding the Fourth Proportional to 402,203.20, 603,477.60 and 205,211.20

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Solution

The fourth proportional to 402,203.20, 603,477.60 and 205,211.20 is: 307,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,203.20 : 603,477.60 = 205,211.20 : x
  2. Step 2: Convert to fraction form
    402,203.20/603,477.60 = 205,211.20/x
  3. Step 3: Cross multiply
    402,203.20x = 603,477.60 × 205,211.20
  4. Step 4: Simplify right side
    402,203.20x = 123,840,362,469.12
  5. Step 5: Solve for x
    x = 123,840,362,469.12/402,203.20
  6. Step 6: Final answer
    x = 307,904.97

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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.