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Finding the Fourth Proportional to 543,048.12, 813,512.61 and 355,491

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Solution

The fourth proportional to 543,048.12, 813,512.61 and 355,491 is: 532,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,048.12 : 813,512.61 = 355,491 : x
  2. Step 2: Convert to fraction form
    543,048.12/813,512.61 = 355,491/x
  3. Step 3: Cross multiply
    543,048.12x = 813,512.61 × 355,491
  4. Step 4: Simplify right side
    543,048.12x = 289,196,411,241.51
  5. Step 5: Solve for x
    x = 289,196,411,241.51/543,048.12
  6. Step 6: Final answer
    x = 532,542.88

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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.