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Finding the Fourth Proportional to 656,385.35, 905,980.32 and 427,512.97

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Solution

The fourth proportional to 656,385.35, 905,980.32 and 427,512.97 is: 590,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,385.35 : 905,980.32 = 427,512.97 : x
  2. Step 2: Convert to fraction form
    656,385.35/905,980.32 = 427,512.97/x
  3. Step 3: Cross multiply
    656,385.35x = 905,980.32 × 427,512.97
  4. Step 4: Simplify right side
    656,385.35x = 387,318,337,364.75
  5. Step 5: Solve for x
    x = 387,318,337,364.75/656,385.35
  6. Step 6: Final answer
    x = 590,077.67

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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.