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Finding the Fourth Proportional to 257,854.50, 355,845.34 and 144,685.62

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Solution

The fourth proportional to 257,854.50, 355,845.34 and 144,685.62 is: 199,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.50 : 355,845.34 = 144,685.62 : x
  2. Step 2: Convert to fraction form
    257,854.50/355,845.34 = 144,685.62/x
  3. Step 3: Cross multiply
    257,854.50x = 355,845.34 × 144,685.62
  4. Step 4: Simplify right side
    257,854.50x = 51,485,703,642.01
  5. Step 5: Solve for x
    x = 51,485,703,642.01/257,854.50
  6. Step 6: Final answer
    x = 199,669.60

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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.