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Finding the Fourth Proportional to 442,814.40, 664,221.60 and 293,223.60

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Solution

The fourth proportional to 442,814.40, 664,221.60 and 293,223.60 is: 439,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,814.40 : 664,221.60 = 293,223.60 : x
  2. Step 2: Convert to fraction form
    442,814.40/664,221.60 = 293,223.60/x
  3. Step 3: Cross multiply
    442,814.40x = 664,221.60 × 293,223.60
  4. Step 4: Simplify right side
    442,814.40x = 194,765,448,749.76
  5. Step 5: Solve for x
    x = 194,765,448,749.76/442,814.40
  6. Step 6: Final answer
    x = 439,835.40

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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.