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Finding the Fourth Proportional to 257,211, 354,951.36 and 144,036.36

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Solution

The fourth proportional to 257,211, 354,951.36 and 144,036.36 is: 198,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,211 : 354,951.36 = 144,036.36 : x
  2. Step 2: Convert to fraction form
    257,211/354,951.36 = 144,036.36/x
  3. Step 3: Cross multiply
    257,211x = 354,951.36 × 144,036.36
  4. Step 4: Simplify right side
    257,211x = 51,125,901,871.45
  5. Step 5: Solve for x
    x = 51,125,901,871.45/257,211
  6. Step 6: Final answer
    x = 198,770.28

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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.