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Finding the Fourth Proportional to 257,412.94, 354,836.12 and 180,716.88

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Solution

The fourth proportional to 257,412.94, 354,836.12 and 180,716.88 is: 249,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.94 : 354,836.12 = 180,716.88 : x
  2. Step 2: Convert to fraction form
    257,412.94/354,836.12 = 180,716.88/x
  3. Step 3: Cross multiply
    257,412.94x = 354,836.12 × 180,716.88
  4. Step 4: Simplify right side
    257,412.94x = 64,124,876,517.71
  5. Step 5: Solve for x
    x = 64,124,876,517.71/257,412.94
  6. Step 6: Final answer
    x = 249,112.87

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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.