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Finding the Fourth Proportional to 409,007.88, 613,792.08 and 142,768.41

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Solution

The fourth proportional to 409,007.88, 613,792.08 and 142,768.41 is: 214,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,007.88 : 613,792.08 = 142,768.41 : x
  2. Step 2: Convert to fraction form
    409,007.88/613,792.08 = 142,768.41/x
  3. Step 3: Cross multiply
    409,007.88x = 613,792.08 × 142,768.41
  4. Step 4: Simplify right side
    409,007.88x = 87,630,119,332.19
  5. Step 5: Solve for x
    x = 87,630,119,332.19/409,007.88
  6. Step 6: Final answer
    x = 214,250.44

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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.