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Finding the Fourth Proportional to 666,717, 920,069.46 and 364,911

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Solution

The fourth proportional to 666,717, 920,069.46 and 364,911 is: 503,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,717 : 920,069.46 = 364,911 : x
  2. Step 2: Convert to fraction form
    666,717/920,069.46 = 364,911/x
  3. Step 3: Cross multiply
    666,717x = 920,069.46 × 364,911
  4. Step 4: Simplify right side
    666,717x = 335,743,466,718.06
  5. Step 5: Solve for x
    x = 335,743,466,718.06/666,717
  6. Step 6: Final answer
    x = 503,577.18

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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.