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Finding the Fourth Proportional to 446,412.91, 669,796.78 and 142,853.83

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Solution

The fourth proportional to 446,412.91, 669,796.78 and 142,853.83 is: 214,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,412.91 : 669,796.78 = 142,853.83 : x
  2. Step 2: Convert to fraction form
    446,412.91/669,796.78 = 142,853.83/x
  3. Step 3: Cross multiply
    446,412.91x = 669,796.78 × 142,853.83
  4. Step 4: Simplify right side
    446,412.91x = 95,683,035,344.67
  5. Step 5: Solve for x
    x = 95,683,035,344.67/446,412.91
  6. Step 6: Final answer
    x = 214,337.52

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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.