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Finding the Fourth Proportional to 257,220.50, 354,964.47 and 144,045.86

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Solution

The fourth proportional to 257,220.50, 354,964.47 and 144,045.86 is: 198,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,220.50 : 354,964.47 = 144,045.86 : x
  2. Step 2: Convert to fraction form
    257,220.50/354,964.47 = 144,045.86/x
  3. Step 3: Cross multiply
    257,220.50x = 354,964.47 × 144,045.86
  4. Step 4: Simplify right side
    257,220.50x = 51,131,162,350.59
  5. Step 5: Solve for x
    x = 51,131,162,350.59/257,220.50
  6. Step 6: Final answer
    x = 198,783.39

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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.