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Finding the Fourth Proportional to 666,989.64, 920,537.46 and 409,020.84

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Solution

The fourth proportional to 666,989.64, 920,537.46 and 409,020.84 is: 564,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,989.64 : 920,537.46 = 409,020.84 : x
  2. Step 2: Convert to fraction form
    666,989.64/920,537.46 = 409,020.84/x
  3. Step 3: Cross multiply
    666,989.64x = 920,537.46 × 409,020.84
  4. Step 4: Simplify right side
    666,989.64x = 376,519,005,140.67
  5. Step 5: Solve for x
    x = 376,519,005,140.67/666,989.64
  6. Step 6: Final answer
    x = 564,505.03

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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.