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Finding the Fourth Proportional to 309,563.20, 463,567.20 and 203,809.60

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Solution

The fourth proportional to 309,563.20, 463,567.20 and 203,809.60 is: 305,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,563.20 : 463,567.20 = 203,809.60 : x
  2. Step 2: Convert to fraction form
    309,563.20/463,567.20 = 203,809.60/x
  3. Step 3: Cross multiply
    309,563.20x = 463,567.20 × 203,809.60
  4. Step 4: Simplify right side
    309,563.20x = 94,479,445,605.12
  5. Step 5: Solve for x
    x = 94,479,445,605.12/309,563.20
  6. Step 6: Final answer
    x = 305,202.45

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1.5x scale

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.