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Finding the Fourth Proportional to 252,556.80, 378,374.40 and 153,945.60

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Solution

The fourth proportional to 252,556.80, 378,374.40 and 153,945.60 is: 230,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,556.80 : 378,374.40 = 153,945.60 : x
  2. Step 2: Convert to fraction form
    252,556.80/378,374.40 = 153,945.60/x
  3. Step 3: Cross multiply
    252,556.80x = 378,374.40 × 153,945.60
  4. Step 4: Simplify right side
    252,556.80x = 58,249,074,032.64
  5. Step 5: Solve for x
    x = 58,249,074,032.64/252,556.80
  6. Step 6: Final answer
    x = 230,637.52

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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.