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Finding the Fourth Proportional to 442,868.40, 664,302.60 and 162,349.20

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Solution

The fourth proportional to 442,868.40, 664,302.60 and 162,349.20 is: 243,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,868.40 : 664,302.60 = 162,349.20 : x
  2. Step 2: Convert to fraction form
    442,868.40/664,302.60 = 162,349.20/x
  3. Step 3: Cross multiply
    442,868.40x = 664,302.60 × 162,349.20
  4. Step 4: Simplify right side
    442,868.40x = 107,848,995,667.92
  5. Step 5: Solve for x
    x = 107,848,995,667.92/442,868.40
  6. Step 6: Final answer
    x = 243,523.80

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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.