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Finding the Fourth Proportional to 409,059.09, 613,383.30 and 238,336.08

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Solution

The fourth proportional to 409,059.09, 613,383.30 and 238,336.08 is: 357,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,059.09 : 613,383.30 = 238,336.08 : x
  2. Step 2: Convert to fraction form
    409,059.09/613,383.30 = 238,336.08/x
  3. Step 3: Cross multiply
    409,059.09x = 613,383.30 × 238,336.08
  4. Step 4: Simplify right side
    409,059.09x = 146,191,371,259.46
  5. Step 5: Solve for x
    x = 146,191,371,259.46/409,059.09
  6. Step 6: Final answer
    x = 357,384.48

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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.