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Finding the Fourth Proportional to 523,161, 785,086.20 and 286,669.80

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Solution

The fourth proportional to 523,161, 785,086.20 and 286,669.80 is: 430,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,161 : 785,086.20 = 286,669.80 : x
  2. Step 2: Convert to fraction form
    523,161/785,086.20 = 286,669.80/x
  3. Step 3: Cross multiply
    523,161x = 785,086.20 × 286,669.80
  4. Step 4: Simplify right side
    523,161x = 225,060,503,936.76
  5. Step 5: Solve for x
    x = 225,060,503,936.76/523,161
  6. Step 6: Final answer
    x = 430,193.58

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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.