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Finding the Fourth Proportional to 543,046.12, 813,509.61 and 355,489

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Solution

The fourth proportional to 543,046.12, 813,509.61 and 355,489 is: 532,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,046.12 : 813,509.61 = 355,489 : x
  2. Step 2: Convert to fraction form
    543,046.12/813,509.61 = 355,489/x
  3. Step 3: Cross multiply
    543,046.12x = 813,509.61 × 355,489
  4. Step 4: Simplify right side
    543,046.12x = 289,193,717,749.29
  5. Step 5: Solve for x
    x = 289,193,717,749.29/543,046.12
  6. Step 6: Final answer
    x = 532,539.88

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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.