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Finding the Fourth Proportional to 257,955.50, 355,978.57 and 144,778.25

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Solution

The fourth proportional to 257,955.50, 355,978.57 and 144,778.25 is: 199,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,955.50 : 355,978.57 = 144,778.25 : x
  2. Step 2: Convert to fraction form
    257,955.50/355,978.57 = 144,778.25/x
  3. Step 3: Cross multiply
    257,955.50x = 355,978.57 × 144,778.25
  4. Step 4: Simplify right side
    257,955.50x = 51,537,954,402.10
  5. Step 5: Solve for x
    x = 51,537,954,402.10/257,955.50
  6. Step 6: Final answer
    x = 199,793.97

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1.5x scale

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.