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Finding the Fourth Proportional to 257,447.82, 355,268.36 and 144,263.28

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Solution

The fourth proportional to 257,447.82, 355,268.36 and 144,263.28 is: 199,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,447.82 : 355,268.36 = 144,263.28 : x
  2. Step 2: Convert to fraction form
    257,447.82/355,268.36 = 144,263.28/x
  3. Step 3: Cross multiply
    257,447.82x = 355,268.36 × 144,263.28
  4. Step 4: Simplify right side
    257,447.82x = 51,252,178,893.82
  5. Step 5: Solve for x
    x = 51,252,178,893.82/257,447.82
  6. Step 6: Final answer
    x = 199,077.93

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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.