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Finding the Fourth Proportional to 587,645.38, 811,123.92 and 383,728

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Solution

The fourth proportional to 587,645.38, 811,123.92 and 383,728 is: 529,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,645.38 : 811,123.92 = 383,728 : x
  2. Step 2: Convert to fraction form
    587,645.38/811,123.92 = 383,728/x
  3. Step 3: Cross multiply
    587,645.38x = 811,123.92 × 383,728
  4. Step 4: Simplify right side
    587,645.38x = 311,250,959,573.76
  5. Step 5: Solve for x
    x = 311,250,959,573.76/587,645.38
  6. Step 6: Final answer
    x = 529,657.80

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1.5x scale

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.