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Finding the Fourth Proportional to 381,654.15, 573,046.20 and 213,510.30

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Solution

The fourth proportional to 381,654.15, 573,046.20 and 213,510.30 is: 320,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,654.15 : 573,046.20 = 213,510.30 : x
  2. Step 2: Convert to fraction form
    381,654.15/573,046.20 = 213,510.30/x
  3. Step 3: Cross multiply
    381,654.15x = 573,046.20 × 213,510.30
  4. Step 4: Simplify right side
    381,654.15x = 122,351,266,075.86
  5. Step 5: Solve for x
    x = 122,351,266,075.86/381,654.15
  6. Step 6: Final answer
    x = 320,581.52

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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.