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Finding the Fourth Proportional to 976,609, 1,464,922.62 and 345,629.80

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Solution

The fourth proportional to 976,609, 1,464,922.62 and 345,629.80 is: 518,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,609 : 1,464,922.62 = 345,629.80 : x
  2. Step 2: Convert to fraction form
    976,609/1,464,922.62 = 345,629.80/x
  3. Step 3: Cross multiply
    976,609x = 1,464,922.62 × 345,629.80
  4. Step 4: Simplify right side
    976,609x = 506,320,912,166.08
  5. Step 5: Solve for x
    x = 506,320,912,166.08/976,609
  6. Step 6: Final answer
    x = 518,447.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.