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Finding the Fourth Proportional to 409,115.81, 613,698.32 and 128,633.06

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Solution

The fourth proportional to 409,115.81, 613,698.32 and 128,633.06 is: 192,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,115.81 : 613,698.32 = 128,633.06 : x
  2. Step 2: Convert to fraction form
    409,115.81/613,698.32 = 128,633.06/x
  3. Step 3: Cross multiply
    409,115.81x = 613,698.32 × 128,633.06
  4. Step 4: Simplify right side
    409,115.81x = 78,941,894,674.29
  5. Step 5: Solve for x
    x = 78,941,894,674.29/409,115.81
  6. Step 6: Final answer
    x = 192,957.33

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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.