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Finding the Fourth Proportional to 257,796.40, 355,886.04 and 162,449.68

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Solution

The fourth proportional to 257,796.40, 355,886.04 and 162,449.68 is: 224,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.40 : 355,886.04 = 162,449.68 : x
  2. Step 2: Convert to fraction form
    257,796.40/355,886.04 = 162,449.68/x
  3. Step 3: Cross multiply
    257,796.40x = 355,886.04 × 162,449.68
  4. Step 4: Simplify right side
    257,796.40x = 57,813,573,314.47
  5. Step 5: Solve for x
    x = 57,813,573,314.47/257,796.40
  6. Step 6: Final answer
    x = 224,260.59

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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.