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Finding the Fourth Proportional to 381,646.15, 573,034.20 and 213,502.30

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Solution

The fourth proportional to 381,646.15, 573,034.20 and 213,502.30 is: 320,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,646.15 : 573,034.20 = 213,502.30 : x
  2. Step 2: Convert to fraction form
    381,646.15/573,034.20 = 213,502.30/x
  3. Step 3: Cross multiply
    381,646.15x = 573,034.20 × 213,502.30
  4. Step 4: Simplify right side
    381,646.15x = 122,344,119,678.66
  5. Step 5: Solve for x
    x = 122,344,119,678.66/381,646.15
  6. Step 6: Final answer
    x = 320,569.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.