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Finding the Fourth Proportional to 324,143.88, 447,341 and 180,931.80

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Solution

The fourth proportional to 324,143.88, 447,341 and 180,931.80 is: 249,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,143.88 : 447,341 = 180,931.80 : x
  2. Step 2: Convert to fraction form
    324,143.88/447,341 = 180,931.80/x
  3. Step 3: Cross multiply
    324,143.88x = 447,341 × 180,931.80
  4. Step 4: Simplify right side
    324,143.88x = 80,938,212,343.80
  5. Step 5: Solve for x
    x = 80,938,212,343.80/324,143.88
  6. Step 6: Final answer
    x = 249,698.41

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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.