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Finding the Fourth Proportional to 402,464.20, 603,769.20 and 202,280.80

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Solution

The fourth proportional to 402,464.20, 603,769.20 and 202,280.80 is: 303,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,464.20 : 603,769.20 = 202,280.80 : x
  2. Step 2: Convert to fraction form
    402,464.20/603,769.20 = 202,280.80/x
  3. Step 3: Cross multiply
    402,464.20x = 603,769.20 × 202,280.80
  4. Step 4: Simplify right side
    402,464.20x = 122,130,916,791.36
  5. Step 5: Solve for x
    x = 122,130,916,791.36/402,464.20
  6. Step 6: Final answer
    x = 303,457.84

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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.