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Finding the Fourth Proportional to 409,773.42, 613,501.02 and 217,209.08

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Solution

The fourth proportional to 409,773.42, 613,501.02 and 217,209.08 is: 325,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,773.42 : 613,501.02 = 217,209.08 : x
  2. Step 2: Convert to fraction form
    409,773.42/613,501.02 = 217,209.08/x
  3. Step 3: Cross multiply
    409,773.42x = 613,501.02 × 217,209.08
  4. Step 4: Simplify right side
    409,773.42x = 133,257,992,580.97
  5. Step 5: Solve for x
    x = 133,257,992,580.97/409,773.42
  6. Step 6: Final answer
    x = 325,199.21

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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.