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Finding the Fourth Proportional to 409,056.30, 613,584.45 and 209,310.30

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Solution

The fourth proportional to 409,056.30, 613,584.45 and 209,310.30 is: 313,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,056.30 : 613,584.45 = 209,310.30 : x
  2. Step 2: Convert to fraction form
    409,056.30/613,584.45 = 209,310.30/x
  3. Step 3: Cross multiply
    409,056.30x = 613,584.45 × 209,310.30
  4. Step 4: Simplify right side
    409,056.30x = 128,429,545,304.84
  5. Step 5: Solve for x
    x = 128,429,545,304.84/409,056.30
  6. Step 6: Final answer
    x = 313,965.45

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Double scale
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Similar ratio
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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.