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Finding the Fourth Proportional to 409,208.20, 613,812.30 and 128,811.40

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Solution

The fourth proportional to 409,208.20, 613,812.30 and 128,811.40 is: 193,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,208.20 : 613,812.30 = 128,811.40 : x
  2. Step 2: Convert to fraction form
    409,208.20/613,812.30 = 128,811.40/x
  3. Step 3: Cross multiply
    409,208.20x = 613,812.30 × 128,811.40
  4. Step 4: Simplify right side
    409,208.20x = 79,066,021,700.22
  5. Step 5: Solve for x
    x = 79,066,021,700.22/409,208.20
  6. Step 6: Final answer
    x = 193,217.10

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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.