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Finding the Fourth Proportional to 409,007.48, 613,658.84 and 142,807.21

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Solution

The fourth proportional to 409,007.48, 613,658.84 and 142,807.21 is: 214,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,007.48 : 613,658.84 = 142,807.21 : x
  2. Step 2: Convert to fraction form
    409,007.48/613,658.84 = 142,807.21/x
  3. Step 3: Cross multiply
    409,007.48x = 613,658.84 × 142,807.21
  4. Step 4: Simplify right side
    409,007.48x = 87,634,904,584.05
  5. Step 5: Solve for x
    x = 87,634,904,584.05/409,007.48
  6. Step 6: Final answer
    x = 214,262.35

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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.