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Finding the Fourth Proportional to 515,829.60, 773,744.40 and 305,359.20

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Solution

The fourth proportional to 515,829.60, 773,744.40 and 305,359.20 is: 458,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,829.60 : 773,744.40 = 305,359.20 : x
  2. Step 2: Convert to fraction form
    515,829.60/773,744.40 = 305,359.20/x
  3. Step 3: Cross multiply
    515,829.60x = 773,744.40 × 305,359.20
  4. Step 4: Simplify right side
    515,829.60x = 236,269,970,988.48
  5. Step 5: Solve for x
    x = 236,269,970,988.48/515,829.60
  6. Step 6: Final answer
    x = 458,038.80

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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.