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Finding the Fourth Proportional to 640,653.24, 884,033.82 and 354,127.08

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Solution

The fourth proportional to 640,653.24, 884,033.82 and 354,127.08 is: 488,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,653.24 : 884,033.82 = 354,127.08 : x
  2. Step 2: Convert to fraction form
    640,653.24/884,033.82 = 354,127.08/x
  3. Step 3: Cross multiply
    640,653.24x = 884,033.82 × 354,127.08
  4. Step 4: Simplify right side
    640,653.24x = 313,060,315,297.85
  5. Step 5: Solve for x
    x = 313,060,315,297.85/640,653.24
  6. Step 6: Final answer
    x = 488,657.98

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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.