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Finding the Fourth Proportional to 257,909.37, 355,940.51 and 144,732.57

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Solution

The fourth proportional to 257,909.37, 355,940.51 and 144,732.57 is: 199,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,909.37 : 355,940.51 = 144,732.57 : x
  2. Step 2: Convert to fraction form
    257,909.37/355,940.51 = 144,732.57/x
  3. Step 3: Cross multiply
    257,909.37x = 355,940.51 × 144,732.57
  4. Step 4: Simplify right side
    257,909.37x = 51,516,184,779.41
  5. Step 5: Solve for x
    x = 51,516,184,779.41/257,909.37
  6. Step 6: Final answer
    x = 199,745.30

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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.