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Finding the Fourth Proportional to 354,348.84, 531,772.33 and 320,469.47

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Solution

The fourth proportional to 354,348.84, 531,772.33 and 320,469.47 is: 480,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,348.84 : 531,772.33 = 320,469.47 : x
  2. Step 2: Convert to fraction form
    354,348.84/531,772.33 = 320,469.47/x
  3. Step 3: Cross multiply
    354,348.84x = 531,772.33 × 320,469.47
  4. Step 4: Simplify right side
    354,348.84x = 170,416,798,881.98
  5. Step 5: Solve for x
    x = 170,416,798,881.98/354,348.84
  6. Step 6: Final answer
    x = 480,929.47

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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.