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Finding the Fourth Proportional to 392,421, 588,637.04 and 111,938.25

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Solution

The fourth proportional to 392,421, 588,637.04 and 111,938.25 is: 167,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,421 : 588,637.04 = 111,938.25 : x
  2. Step 2: Convert to fraction form
    392,421/588,637.04 = 111,938.25/x
  3. Step 3: Cross multiply
    392,421x = 588,637.04 × 111,938.25
  4. Step 4: Simplify right side
    392,421x = 65,890,999,583.09
  5. Step 5: Solve for x
    x = 65,890,999,583.09/392,421
  6. Step 6: Final answer
    x = 167,908.95

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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.