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Finding the Fourth Proportional to 705,703.57, 973,656.38 and 399,731.33

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Solution

The fourth proportional to 705,703.57, 973,656.38 and 399,731.33 is: 551,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,703.57 : 973,656.38 = 399,731.33 : x
  2. Step 2: Convert to fraction form
    705,703.57/973,656.38 = 399,731.33/x
  3. Step 3: Cross multiply
    705,703.57x = 973,656.38 × 399,731.33
  4. Step 4: Simplify right side
    705,703.57x = 389,200,957,741.73
  5. Step 5: Solve for x
    x = 389,200,957,741.73/705,703.57
  6. Step 6: Final answer
    x = 551,507.71

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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.