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Finding the Fourth Proportional to 640,764, 884,219.76 and 354,267.36

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Solution

The fourth proportional to 640,764, 884,219.76 and 354,267.36 is: 488,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,764 : 884,219.76 = 354,267.36 : x
  2. Step 2: Convert to fraction form
    640,764/884,219.76 = 354,267.36/x
  3. Step 3: Cross multiply
    640,764x = 884,219.76 × 354,267.36
  4. Step 4: Simplify right side
    640,764x = 313,250,200,035.03
  5. Step 5: Solve for x
    x = 313,250,200,035.03/640,764
  6. Step 6: Final answer
    x = 488,869.85

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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.