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Finding the Fourth Proportional to 656,317, 905,717.82 and 354,511

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Solution

The fourth proportional to 656,317, 905,717.82 and 354,511 is: 489,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,317 : 905,717.82 = 354,511 : x
  2. Step 2: Convert to fraction form
    656,317/905,717.82 = 354,511/x
  3. Step 3: Cross multiply
    656,317x = 905,717.82 × 354,511
  4. Step 4: Simplify right side
    656,317x = 321,086,930,086.02
  5. Step 5: Solve for x
    x = 321,086,930,086.02/656,317
  6. Step 6: Final answer
    x = 489,225.37

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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.