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Finding the Fourth Proportional to 378,713.48, 522,600.84 and 208,948.76

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Solution

The fourth proportional to 378,713.48, 522,600.84 and 208,948.76 is: 288,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,713.48 : 522,600.84 = 208,948.76 : x
  2. Step 2: Convert to fraction form
    378,713.48/522,600.84 = 208,948.76/x
  3. Step 3: Cross multiply
    378,713.48x = 522,600.84 × 208,948.76
  4. Step 4: Simplify right side
    378,713.48x = 109,196,797,492.96
  5. Step 5: Solve for x
    x = 109,196,797,492.96/378,713.48
  6. Step 6: Final answer
    x = 288,336.18

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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.