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Finding the Fourth Proportional to 272,435.60, 409,344.60 and 242,022.80

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Solution

The fourth proportional to 272,435.60, 409,344.60 and 242,022.80 is: 363,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,435.60 : 409,344.60 = 242,022.80 : x
  2. Step 2: Convert to fraction form
    272,435.60/409,344.60 = 242,022.80/x
  3. Step 3: Cross multiply
    272,435.60x = 409,344.60 × 242,022.80
  4. Step 4: Simplify right side
    272,435.60x = 99,070,726,256.88
  5. Step 5: Solve for x
    x = 99,070,726,256.88/272,435.60
  6. Step 6: Final answer
    x = 363,648.24

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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.