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Finding the Fourth Proportional to 257,182.21, 354,917.17 and 146,798.63

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Solution

The fourth proportional to 257,182.21, 354,917.17 and 146,798.63 is: 202,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,182.21 : 354,917.17 = 146,798.63 : x
  2. Step 2: Convert to fraction form
    257,182.21/354,917.17 = 146,798.63/x
  3. Step 3: Cross multiply
    257,182.21x = 354,917.17 × 146,798.63
  4. Step 4: Simplify right side
    257,182.21x = 52,101,354,319.48
  5. Step 5: Solve for x
    x = 52,101,354,319.48/257,182.21
  6. Step 6: Final answer
    x = 202,585.37

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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.