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Finding the Fourth Proportional to 409,440.60, 613,286.10 and 339,456.60

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Solution

The fourth proportional to 409,440.60, 613,286.10 and 339,456.60 is: 508,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,440.60 : 613,286.10 = 339,456.60 : x
  2. Step 2: Convert to fraction form
    409,440.60/613,286.10 = 339,456.60/x
  3. Step 3: Cross multiply
    409,440.60x = 613,286.10 × 339,456.60
  4. Step 4: Simplify right side
    409,440.60x = 208,184,014,333.26
  5. Step 5: Solve for x
    x = 208,184,014,333.26/409,440.60
  6. Step 6: Final answer
    x = 508,459.63

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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.