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Finding the Fourth Proportional to 587,640, 881,709.42 and 321,089.13

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Solution

The fourth proportional to 587,640, 881,709.42 and 321,089.13 is: 481,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,640 : 881,709.42 = 321,089.13 : x
  2. Step 2: Convert to fraction form
    587,640/881,709.42 = 321,089.13/x
  3. Step 3: Cross multiply
    587,640x = 881,709.42 × 321,089.13
  4. Step 4: Simplify right side
    587,640x = 283,107,310,580.61
  5. Step 5: Solve for x
    x = 283,107,310,580.61/587,640
  6. Step 6: Final answer
    x = 481,769.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.