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Finding the Fourth Proportional to 378,855.39, 522,818.06 and 209,089.47

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Solution

The fourth proportional to 378,855.39, 522,818.06 and 209,089.47 is: 288,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,855.39 : 522,818.06 = 209,089.47 : x
  2. Step 2: Convert to fraction form
    378,855.39/522,818.06 = 209,089.47/x
  3. Step 3: Cross multiply
    378,855.39x = 522,818.06 × 209,089.47
  4. Step 4: Simplify right side
    378,855.39x = 109,315,750,026.38
  5. Step 5: Solve for x
    x = 109,315,750,026.38/378,855.39
  6. Step 6: Final answer
    x = 288,542.15

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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.