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Finding the Fourth Proportional to 656,980.88, 906,634.82 and 355,174.88

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Solution

The fourth proportional to 656,980.88, 906,634.82 and 355,174.88 is: 490,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,980.88 : 906,634.82 = 355,174.88 : x
  2. Step 2: Convert to fraction form
    656,980.88/906,634.82 = 355,174.88/x
  3. Step 3: Cross multiply
    656,980.88x = 906,634.82 × 355,174.88
  4. Step 4: Simplify right side
    656,980.88x = 322,013,909,752.09
  5. Step 5: Solve for x
    x = 322,013,909,752.09/656,980.88
  6. Step 6: Final answer
    x = 490,141.98

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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.