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Finding the Fourth Proportional to 409,259.12, 613,830.36 and 128,769.08

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Solution

The fourth proportional to 409,259.12, 613,830.36 and 128,769.08 is: 193,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,259.12 : 613,830.36 = 128,769.08 : x
  2. Step 2: Convert to fraction form
    409,259.12/613,830.36 = 128,769.08/x
  3. Step 3: Cross multiply
    409,259.12x = 613,830.36 × 128,769.08
  4. Step 4: Simplify right side
    409,259.12x = 79,042,370,733.27
  5. Step 5: Solve for x
    x = 79,042,370,733.27/409,259.12
  6. Step 6: Final answer
    x = 193,135.27

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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.