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Finding the Fourth Proportional to 409,829.22, 615,127.77 and 252,365.22

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Solution

The fourth proportional to 409,829.22, 615,127.77 and 252,365.22 is: 378,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,829.22 : 615,127.77 = 252,365.22 : x
  2. Step 2: Convert to fraction form
    409,829.22/615,127.77 = 252,365.22/x
  3. Step 3: Cross multiply
    409,829.22x = 615,127.77 × 252,365.22
  4. Step 4: Simplify right side
    409,829.22x = 155,236,855,004.16
  5. Step 5: Solve for x
    x = 155,236,855,004.16/409,829.22
  6. Step 6: Final answer
    x = 378,784.25

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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.