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Finding the Fourth Proportional to 665,716, 918,691.36 and 363,910

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Solution

The fourth proportional to 665,716, 918,691.36 and 363,910 is: 502,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,716 : 918,691.36 = 363,910 : x
  2. Step 2: Convert to fraction form
    665,716/918,691.36 = 363,910/x
  3. Step 3: Cross multiply
    665,716x = 918,691.36 × 363,910
  4. Step 4: Simplify right side
    665,716x = 334,320,972,817.60
  5. Step 5: Solve for x
    x = 334,320,972,817.60/665,716
  6. Step 6: Final answer
    x = 502,197.59

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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.