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Finding the Fourth Proportional to 482,805.60, 724,208.40 and 305,512.80

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Solution

The fourth proportional to 482,805.60, 724,208.40 and 305,512.80 is: 458,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,805.60 : 724,208.40 = 305,512.80 : x
  2. Step 2: Convert to fraction form
    482,805.60/724,208.40 = 305,512.80/x
  3. Step 3: Cross multiply
    482,805.60x = 724,208.40 × 305,512.80
  4. Step 4: Simplify right side
    482,805.60x = 221,254,936,067.52
  5. Step 5: Solve for x
    x = 221,254,936,067.52/482,805.60
  6. Step 6: Final answer
    x = 458,269.20

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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.