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Finding the Fourth Proportional to 705,998.74, 974,284.66 and 383,709.60

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Solution

The fourth proportional to 705,998.74, 974,284.66 and 383,709.60 is: 529,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,998.74 : 974,284.66 = 383,709.60 : x
  2. Step 2: Convert to fraction form
    705,998.74/974,284.66 = 383,709.60/x
  3. Step 3: Cross multiply
    705,998.74x = 974,284.66 × 383,709.60
  4. Step 4: Simplify right side
    705,998.74x = 373,842,377,174.74
  5. Step 5: Solve for x
    x = 373,842,377,174.74/705,998.74
  6. Step 6: Final answer
    x = 529,522.73

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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.