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Finding the Fourth Proportional to 391,664, 540,499.56 and 212,816

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Solution

The fourth proportional to 391,664, 540,499.56 and 212,816 is: 293,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,664 : 540,499.56 = 212,816 : x
  2. Step 2: Convert to fraction form
    391,664/540,499.56 = 212,816/x
  3. Step 3: Cross multiply
    391,664x = 540,499.56 × 212,816
  4. Step 4: Simplify right side
    391,664x = 115,026,954,360.96
  5. Step 5: Solve for x
    x = 115,026,954,360.96/391,664
  6. Step 6: Final answer
    x = 293,687.84

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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.