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Finding the Fourth Proportional to 272,443.44, 408,918.24 and 139,419.12

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Solution

The fourth proportional to 272,443.44, 408,918.24 and 139,419.12 is: 209,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,443.44 : 408,918.24 = 139,419.12 : x
  2. Step 2: Convert to fraction form
    272,443.44/408,918.24 = 139,419.12/x
  3. Step 3: Cross multiply
    272,443.44x = 408,918.24 × 139,419.12
  4. Step 4: Simplify right side
    272,443.44x = 57,011,021,172.75
  5. Step 5: Solve for x
    x = 57,011,021,172.75/272,443.44
  6. Step 6: Final answer
    x = 209,258.19

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1.5x scale

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.