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Finding the Fourth Proportional to 299,580, 449,715.60 and 152,147.04

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Solution

The fourth proportional to 299,580, 449,715.60 and 152,147.04 is: 228,396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,580 : 449,715.60 = 152,147.04 : x
  2. Step 2: Convert to fraction form
    299,580/449,715.60 = 152,147.04/x
  3. Step 3: Cross multiply
    299,580x = 449,715.60 × 152,147.04
  4. Step 4: Simplify right side
    299,580x = 68,422,897,381.82
  5. Step 5: Solve for x
    x = 68,422,897,381.82/299,580
  6. Step 6: Final answer
    x = 228,396.08

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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.