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Finding the Fourth Proportional to 321,417.84, 443,407.32 and 200,480.88

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Solution

The fourth proportional to 321,417.84, 443,407.32 and 200,480.88 is: 276,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,417.84 : 443,407.32 = 200,480.88 : x
  2. Step 2: Convert to fraction form
    321,417.84/443,407.32 = 200,480.88/x
  3. Step 3: Cross multiply
    321,417.84x = 443,407.32 × 200,480.88
  4. Step 4: Simplify right side
    321,417.84x = 88,894,689,712.04
  5. Step 5: Solve for x
    x = 88,894,689,712.04/321,417.84
  6. Step 6: Final answer
    x = 276,570.49

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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.