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Finding the Fourth Proportional to 407,052.78, 561,084.01 and 320,871.31

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Solution

The fourth proportional to 407,052.78, 561,084.01 and 320,871.31 is: 442,290.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,052.78 : 561,084.01 = 320,871.31 : x
  2. Step 2: Convert to fraction form
    407,052.78/561,084.01 = 320,871.31/x
  3. Step 3: Cross multiply
    407,052.78x = 561,084.01 × 320,871.31
  4. Step 4: Simplify right side
    407,052.78x = 180,035,759,704.40
  5. Step 5: Solve for x
    x = 180,035,759,704.40/407,052.78
  6. Step 6: Final answer
    x = 442,290.95

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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.