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Finding the Fourth Proportional to 272,931.50, 409,230.49 and 130,820.26

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Solution

The fourth proportional to 272,931.50, 409,230.49 and 130,820.26 is: 196,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,931.50 : 409,230.49 = 130,820.26 : x
  2. Step 2: Convert to fraction form
    272,931.50/409,230.49 = 130,820.26/x
  3. Step 3: Cross multiply
    272,931.50x = 409,230.49 × 130,820.26
  4. Step 4: Simplify right side
    272,931.50x = 53,535,639,101.73
  5. Step 5: Solve for x
    x = 53,535,639,101.73/272,931.50
  6. Step 6: Final answer
    x = 196,150.46

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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.