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Finding the Fourth Proportional to 409,208.40, 613,812.60 and 346,222.80

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Solution

The fourth proportional to 409,208.40, 613,812.60 and 346,222.80 is: 519,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,208.40 : 613,812.60 = 346,222.80 : x
  2. Step 2: Convert to fraction form
    409,208.40/613,812.60 = 346,222.80/x
  3. Step 3: Cross multiply
    409,208.40x = 613,812.60 × 346,222.80
  4. Step 4: Simplify right side
    409,208.40x = 212,515,917,047.28
  5. Step 5: Solve for x
    x = 212,515,917,047.28/409,208.40
  6. Step 6: Final answer
    x = 519,334.20

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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.