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Finding the Fourth Proportional to 257,469, 355,329.09 and 144,313.62

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Solution

The fourth proportional to 257,469, 355,329.09 and 144,313.62 is: 199,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469 : 355,329.09 = 144,313.62 : x
  2. Step 2: Convert to fraction form
    257,469/355,329.09 = 144,313.62/x
  3. Step 3: Cross multiply
    257,469x = 355,329.09 × 144,313.62
  4. Step 4: Simplify right side
    257,469x = 51,278,827,269.21
  5. Step 5: Solve for x
    x = 51,278,827,269.21/257,469
  6. Step 6: Final answer
    x = 199,165.05

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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.