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Finding the Fourth Proportional to 415,805.30, 623,999.55 and 266,408.90

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Solution

The fourth proportional to 415,805.30, 623,999.55 and 266,408.90 is: 399,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,805.30 : 623,999.55 = 266,408.90 : x
  2. Step 2: Convert to fraction form
    415,805.30/623,999.55 = 266,408.90/x
  3. Step 3: Cross multiply
    415,805.30x = 623,999.55 × 266,408.90
  4. Step 4: Simplify right side
    415,805.30x = 166,239,033,716.00
  5. Step 5: Solve for x
    x = 166,239,033,716.00/415,805.30
  6. Step 6: Final answer
    x = 399,800.18

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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.