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Finding the Fourth Proportional to 656,385.34, 905,980.31 and 427,512.96

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Solution

The fourth proportional to 656,385.34, 905,980.31 and 427,512.96 is: 590,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,385.34 : 905,980.31 = 427,512.96 : x
  2. Step 2: Convert to fraction form
    656,385.34/905,980.31 = 427,512.96/x
  3. Step 3: Cross multiply
    656,385.34x = 905,980.31 × 427,512.96
  4. Step 4: Simplify right side
    656,385.34x = 387,318,324,029.82
  5. Step 5: Solve for x
    x = 387,318,324,029.82/656,385.34
  6. Step 6: Final answer
    x = 590,077.66

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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.