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Finding the Fourth Proportional to 666,405.84, 919,663.02 and 364,599.84

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Solution

The fourth proportional to 666,405.84, 919,663.02 and 364,599.84 is: 503,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,405.84 : 919,663.02 = 364,599.84 : x
  2. Step 2: Convert to fraction form
    666,405.84/919,663.02 = 364,599.84/x
  3. Step 3: Cross multiply
    666,405.84x = 919,663.02 × 364,599.84
  4. Step 4: Simplify right side
    666,405.84x = 335,308,989,945.92
  5. Step 5: Solve for x
    x = 335,308,989,945.92/666,405.84
  6. Step 6: Final answer
    x = 503,160.34

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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.