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Finding the Fourth Proportional to 666,083.82, 919,209.15 and 364,297.26

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Solution

The fourth proportional to 666,083.82, 919,209.15 and 364,297.26 is: 502,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,083.82 : 919,209.15 = 364,297.26 : x
  2. Step 2: Convert to fraction form
    666,083.82/919,209.15 = 364,297.26/x
  3. Step 3: Cross multiply
    666,083.82x = 919,209.15 × 364,297.26
  4. Step 4: Simplify right side
    666,083.82x = 334,865,374,711.93
  5. Step 5: Solve for x
    x = 334,865,374,711.93/666,083.82
  6. Step 6: Final answer
    x = 502,737.59

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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.