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Finding the Fourth Proportional to 257,469.50, 355,329.78 and 144,314.12

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Solution

The fourth proportional to 257,469.50, 355,329.78 and 144,314.12 is: 199,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469.50 : 355,329.78 = 144,314.12 : x
  2. Step 2: Convert to fraction form
    257,469.50/355,329.78 = 144,314.12/x
  3. Step 3: Cross multiply
    257,469.50x = 355,329.78 × 144,314.12
  4. Step 4: Simplify right side
    257,469.50x = 51,279,104,510.49
  5. Step 5: Solve for x
    x = 51,279,104,510.49/257,469.50
  6. Step 6: Final answer
    x = 199,165.74

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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.