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Finding the Fourth Proportional to 491,059.94, 677,278.70 and 319,033.25

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Solution

The fourth proportional to 491,059.94, 677,278.70 and 319,033.25 is: 440,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,059.94 : 677,278.70 = 319,033.25 : x
  2. Step 2: Convert to fraction form
    491,059.94/677,278.70 = 319,033.25/x
  3. Step 3: Cross multiply
    491,059.94x = 677,278.70 × 319,033.25
  4. Step 4: Simplify right side
    491,059.94x = 216,074,423,571.39
  5. Step 5: Solve for x
    x = 216,074,423,571.39/491,059.94
  6. Step 6: Final answer
    x = 440,016.40

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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.