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Finding the Fourth Proportional to 257,212, 354,952.74 and 144,037.36

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Solution

The fourth proportional to 257,212, 354,952.74 and 144,037.36 is: 198,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,212 : 354,952.74 = 144,037.36 : x
  2. Step 2: Convert to fraction form
    257,212/354,952.74 = 144,037.36/x
  3. Step 3: Cross multiply
    257,212x = 354,952.74 × 144,037.36
  4. Step 4: Simplify right side
    257,212x = 51,126,455,594.37
  5. Step 5: Solve for x
    x = 51,126,455,594.37/257,212
  6. Step 6: Final answer
    x = 198,771.66

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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.