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Finding the Fourth Proportional to 409,011.63, 613,797.72 and 142,772.19

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Solution

The fourth proportional to 409,011.63, 613,797.72 and 142,772.19 is: 214,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,011.63 : 613,797.72 = 142,772.19 : x
  2. Step 2: Convert to fraction form
    409,011.63/613,797.72 = 142,772.19/x
  3. Step 3: Cross multiply
    409,011.63x = 613,797.72 × 142,772.19
  4. Step 4: Simplify right side
    409,011.63x = 87,633,241,864.27
  5. Step 5: Solve for x
    x = 87,633,241,864.27/409,011.63
  6. Step 6: Final answer
    x = 214,256.11

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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.