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Finding the Fourth Proportional to 656,457, 905,910.66 and 354,651

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Solution

The fourth proportional to 656,457, 905,910.66 and 354,651 is: 489,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,457 : 905,910.66 = 354,651 : x
  2. Step 2: Convert to fraction form
    656,457/905,910.66 = 354,651/x
  3. Step 3: Cross multiply
    656,457x = 905,910.66 × 354,651
  4. Step 4: Simplify right side
    656,457x = 321,282,121,479.66
  5. Step 5: Solve for x
    x = 321,282,121,479.66/656,457
  6. Step 6: Final answer
    x = 489,418.38

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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.