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Finding the Fourth Proportional to 392,938, 589,407 and 143,620

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Solution

The fourth proportional to 392,938, 589,407 and 143,620 is: 215,430

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,938 : 589,407 = 143,620 : x
  2. Step 2: Convert to fraction form
    392,938/589,407 = 143,620/x
  3. Step 3: Cross multiply
    392,938x = 589,407 × 143,620
  4. Step 4: Simplify right side
    392,938x = 84,650,633,340
  5. Step 5: Solve for x
    x = 84,650,633,340/392,938
  6. Step 6: Final answer
    x = 215,430

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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.