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Finding the Fourth Proportional to 523,404, 785,118.96 and 190,980

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Solution

The fourth proportional to 523,404, 785,118.96 and 190,980 is: 286,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,404 : 785,118.96 = 190,980 : x
  2. Step 2: Convert to fraction form
    523,404/785,118.96 = 190,980/x
  3. Step 3: Cross multiply
    523,404x = 785,118.96 × 190,980
  4. Step 4: Simplify right side
    523,404x = 149,942,018,980.80
  5. Step 5: Solve for x
    x = 149,942,018,980.80/523,404
  6. Step 6: Final answer
    x = 286,474.73

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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.