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Finding the Fourth Proportional to 420,153.40, 579,860.73 and 238,892.50

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Solution

The fourth proportional to 420,153.40, 579,860.73 and 238,892.50 is: 329,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,153.40 : 579,860.73 = 238,892.50 : x
  2. Step 2: Convert to fraction form
    420,153.40/579,860.73 = 238,892.50/x
  3. Step 3: Cross multiply
    420,153.40x = 579,860.73 × 238,892.50
  4. Step 4: Simplify right side
    420,153.40x = 138,524,379,441.53
  5. Step 5: Solve for x
    x = 138,524,379,441.53/420,153.40
  6. Step 6: Final answer
    x = 329,699.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.