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Finding the Fourth Proportional to 257,489.75, 355,356.78 and 142,779.80

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Solution

The fourth proportional to 257,489.75, 355,356.78 and 142,779.80 is: 197,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,489.75 : 355,356.78 = 142,779.80 : x
  2. Step 2: Convert to fraction form
    257,489.75/355,356.78 = 142,779.80/x
  3. Step 3: Cross multiply
    257,489.75x = 355,356.78 × 142,779.80
  4. Step 4: Simplify right side
    257,489.75x = 50,737,769,977.04
  5. Step 5: Solve for x
    x = 50,737,769,977.04/257,489.75
  6. Step 6: Final answer
    x = 197,047.73

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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.