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Finding the Fourth Proportional to 330,399.96, 455,908.32 and 209,327.64

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Solution

The fourth proportional to 330,399.96, 455,908.32 and 209,327.64 is: 288,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,399.96 : 455,908.32 = 209,327.64 : x
  2. Step 2: Convert to fraction form
    330,399.96/455,908.32 = 209,327.64/x
  3. Step 3: Cross multiply
    330,399.96x = 455,908.32 × 209,327.64
  4. Step 4: Simplify right side
    330,399.96x = 95,434,212,681.96
  5. Step 5: Solve for x
    x = 95,434,212,681.96/330,399.96
  6. Step 6: Final answer
    x = 288,844.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.