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Finding the Fourth Proportional to 715,998.80, 988,073.16 and 410,142.80

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Solution

The fourth proportional to 715,998.80, 988,073.16 and 410,142.80 is: 565,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,998.80 : 988,073.16 = 410,142.80 : x
  2. Step 2: Convert to fraction form
    715,998.80/988,073.16 = 410,142.80/x
  3. Step 3: Cross multiply
    715,998.80x = 988,073.16 × 410,142.80
  4. Step 4: Simplify right side
    715,998.80x = 405,251,092,447.25
  5. Step 5: Solve for x
    x = 405,251,092,447.25/715,998.80
  6. Step 6: Final answer
    x = 565,994.09

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Double scale
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1.5x scale

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.