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Finding the Fourth Proportional to 252,712.80, 378,032.40 and 227,829.60

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Solution

The fourth proportional to 252,712.80, 378,032.40 and 227,829.60 is: 340,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,712.80 : 378,032.40 = 227,829.60 : x
  2. Step 2: Convert to fraction form
    252,712.80/378,032.40 = 227,829.60/x
  3. Step 3: Cross multiply
    252,712.80x = 378,032.40 × 227,829.60
  4. Step 4: Simplify right side
    252,712.80x = 86,126,970,479.04
  5. Step 5: Solve for x
    x = 86,126,970,479.04/252,712.80
  6. Step 6: Final answer
    x = 340,809.69

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1.5x scale

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.