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Finding the Fourth Proportional to 381,348.70, 572,023.05 and 362,103.10

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Solution

The fourth proportional to 381,348.70, 572,023.05 and 362,103.10 is: 543,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,348.70 : 572,023.05 = 362,103.10 : x
  2. Step 2: Convert to fraction form
    381,348.70/572,023.05 = 362,103.10/x
  3. Step 3: Cross multiply
    381,348.70x = 572,023.05 × 362,103.10
  4. Step 4: Simplify right side
    381,348.70x = 207,131,319,676.46
  5. Step 5: Solve for x
    x = 207,131,319,676.46/381,348.70
  6. Step 6: Final answer
    x = 543,154.65

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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.