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Finding the Fourth Proportional to 397,795.84, 595,744 and 228,961.28

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Solution

The fourth proportional to 397,795.84, 595,744 and 228,961.28 is: 342,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,795.84 : 595,744 = 228,961.28 : x
  2. Step 2: Convert to fraction form
    397,795.84/595,744 = 228,961.28/x
  3. Step 3: Cross multiply
    397,795.84x = 595,744 × 228,961.28
  4. Step 4: Simplify right side
    397,795.84x = 136,402,308,792.32
  5. Step 5: Solve for x
    x = 136,402,308,792.32/397,795.84
  6. Step 6: Final answer
    x = 342,895.26

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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.