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Finding the Fourth Proportional to 812,710, 1,218,967.94 and 213,717.82

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Solution

The fourth proportional to 812,710, 1,218,967.94 and 213,717.82 is: 320,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,710 : 1,218,967.94 = 213,717.82 : x
  2. Step 2: Convert to fraction form
    812,710/1,218,967.94 = 213,717.82/x
  3. Step 3: Cross multiply
    812,710x = 1,218,967.94 × 213,717.82
  4. Step 4: Simplify right side
    812,710x = 260,515,163,623.26
  5. Step 5: Solve for x
    x = 260,515,163,623.26/812,710
  6. Step 6: Final answer
    x = 320,551.20

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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.