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Finding the Fourth Proportional to 565,654.47, 780,586.73 and 320,661.94

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Solution

The fourth proportional to 565,654.47, 780,586.73 and 320,661.94 is: 442,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,654.47 : 780,586.73 = 320,661.94 : x
  2. Step 2: Convert to fraction form
    565,654.47/780,586.73 = 320,661.94/x
  3. Step 3: Cross multiply
    565,654.47x = 780,586.73 × 320,661.94
  4. Step 4: Simplify right side
    565,654.47x = 250,304,453,576.75
  5. Step 5: Solve for x
    x = 250,304,453,576.75/565,654.47
  6. Step 6: Final answer
    x = 442,504.16

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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.