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Finding the Fourth Proportional to 431,604.12, 595,869.14 and 383,725

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Solution

The fourth proportional to 431,604.12, 595,869.14 and 383,725 is: 529,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,604.12 : 595,869.14 = 383,725 : x
  2. Step 2: Convert to fraction form
    431,604.12/595,869.14 = 383,725/x
  3. Step 3: Cross multiply
    431,604.12x = 595,869.14 × 383,725
  4. Step 4: Simplify right side
    431,604.12x = 228,649,885,746.50
  5. Step 5: Solve for x
    x = 228,649,885,746.50/431,604.12
  6. Step 6: Final answer
    x = 529,767.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.