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Finding the Fourth Proportional to 705,847, 974,068.86 and 387,895

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Solution

The fourth proportional to 705,847, 974,068.86 and 387,895 is: 535,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,847 : 974,068.86 = 387,895 : x
  2. Step 2: Convert to fraction form
    705,847/974,068.86 = 387,895/x
  3. Step 3: Cross multiply
    705,847x = 974,068.86 × 387,895
  4. Step 4: Simplify right side
    705,847x = 377,836,440,449.70
  5. Step 5: Solve for x
    x = 377,836,440,449.70/705,847
  6. Step 6: Final answer
    x = 535,295.10

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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.