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Finding the Fourth Proportional to 257,285.64, 355,080.48 and 148,394.28

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Solution

The fourth proportional to 257,285.64, 355,080.48 and 148,394.28 is: 204,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,285.64 : 355,080.48 = 148,394.28 : x
  2. Step 2: Convert to fraction form
    257,285.64/355,080.48 = 148,394.28/x
  3. Step 3: Cross multiply
    257,285.64x = 355,080.48 × 148,394.28
  4. Step 4: Simplify right side
    257,285.64x = 52,691,912,171.65
  5. Step 5: Solve for x
    x = 52,691,912,171.65/257,285.64
  6. Step 6: Final answer
    x = 204,799.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.