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Finding the Fourth Proportional to 485,627.80, 727,664.10 and 307,816.60

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Solution

The fourth proportional to 485,627.80, 727,664.10 and 307,816.60 is: 461,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,627.80 : 727,664.10 = 307,816.60 : x
  2. Step 2: Convert to fraction form
    485,627.80/727,664.10 = 307,816.60/x
  3. Step 3: Cross multiply
    485,627.80x = 727,664.10 × 307,816.60
  4. Step 4: Simplify right side
    485,627.80x = 223,987,089,204.06
  5. Step 5: Solve for x
    x = 223,987,089,204.06/485,627.80
  6. Step 6: Final answer
    x = 461,232.02

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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.